index
int64 0
1.02k
| prompt
stringclasses 1
value | answer
int64 1
8
| image
images listlengths 1
1
| category
stringclasses 1
value |
|---|---|---|---|---|
0
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
|
1
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 8
|
ballgame
|
|
2
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
3
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
4
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 6
|
ballgame
|
|
5
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 6
|
ballgame
|
|
6
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
7
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
|
8
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
9
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5
|
ballgame
|
|
10
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
11
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5
|
ballgame
|
|
12
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
13
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
14
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
15
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
16
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
17
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
18
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
19
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
20
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 6
|
ballgame
|
|
21
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
22
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
|
23
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
24
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
|
25
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
26
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
27
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5
|
ballgame
|
|
28
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
29
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
|
30
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
31
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7
|
ballgame
|
|
32
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
33
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
|
34
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
35
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5
|
ballgame
|
|
36
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7
|
ballgame
|
|
37
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
38
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 6
|
ballgame
|
|
39
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7
|
ballgame
|
|
40
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
41
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
42
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
43
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
44
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
45
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
46
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
47
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
48
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
|
49
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7
|
ballgame
|
|
50
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 8
|
ballgame
|
|
51
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
|
52
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
|
53
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
|
54
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
55
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5
|
ballgame
|
|
56
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
57
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
58
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
|
59
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5
|
ballgame
|
|
60
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
61
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7
|
ballgame
|
|
62
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
63
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7
|
ballgame
|
|
64
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
65
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
66
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5
|
ballgame
|
|
67
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7
|
ballgame
|
|
68
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
69
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
70
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
71
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
72
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
73
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
74
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
75
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
76
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7
|
ballgame
|
|
77
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
78
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
79
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
80
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5
|
ballgame
|
|
81
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
82
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
83
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7
|
ballgame
|
|
84
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5
|
ballgame
|
|
85
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7
|
ballgame
|
|
86
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5
|
ballgame
|
|
87
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
88
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
89
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
|
90
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7
|
ballgame
|
|
91
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 6
|
ballgame
|
|
92
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1
|
ballgame
|
|
93
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
94
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
|
95
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2
|
ballgame
|
|
96
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
|
97
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3
|
ballgame
|
|
98
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7
|
ballgame
|
|
99
|
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4
|
ballgame
|
End of preview. Expand
in Data Studio
VisWorld-Eval: Task Suite for Reasoning with Visual World Modeling 🌏
📋 Introduction
The VisWorld-Eval suite is for assessing multimodal reasoning with visual world modeling. It comprises seven tasks spanning both synthetic and real-world domains, each designed to isolate and demand specific atomic world-model capabilities.
| Task | Capability | Domain | Test Samples | Source / Reference |
|---|---|---|---|---|
| Paper folding | Simulation | Synthetic | 480 | SpatialViz |
| Multi-hop manipulation | Simulation | Synthetic | 480 | ZebraCoT, CLEVR |
| Ball tracking | Simulation | Synthetic | 1,024 | RBench-V |
| Maze | Simulation | Synthetic | 480 | maze-dataset |
| Sokoban | Simulation | Synthetic | 480 | Game-RL |
| Cube 3-view projection | Reconstruction | Synthetic | 480 | SpatialViz |
| Real-world spatial reasoning | Reconstruction | Real-world | 522 | MMSI-Bench |
⚙️ Load Data
Load from 🤗 HuggingFace:
from datasets import load_dataset
ds = load_dataset("thuml/VisWorld-Eval")
🏆 Leaderboard
Zero-shot evaluation of advanced VLMs on VisWorld-Eval: We report the average accuracy over five tasks (excluding Maze and Sokoban) and over all seven tasks.
| Models | Paper Folding | Multi-Hop Manip. | Ball Tracking | Cube 3-View | MMSI (Pos. Rel.) | Maze | Sokoban | Overall (5 tasks) | Overall (7 tasks) |
|---|---|---|---|---|---|---|---|---|---|
| Gemini 3 Flash | 25.6 | 75.4 | 55.3 | 52.7 | 41.3 | 73.9 | 99.3 | 50.0 | 60.5 |
| Gemini 3 Pro | 27.0 | 74.5 | 44.7 | 53.3 | 49.6 | 33.5 | 90.2 | 49.8 | 53.2 |
| Seed 1.8 | 10.6 | 75.2 | 24.4 | 42.5 | 38.8 | 83.9 | 68.3 | 38.3 | 49.1 |
| GPT 5.1 | 6.4 | 73.9 | 34.8 | 44.5 | 44.8 | 0.6 | 62.8 | 40.8 | 38.2 |
| o3 | 13.5 | 68.1 | 24.7 | 37.7 | 44.4 | 0.0 | 36.0 | 37.6 | 32.0 |
| Qwen3-VL-8B-Thinking | 11.0 | 49.3 | 17.8 | 21.2 | 27.7 | 0.0 | 5.8 | 25.4 | 18.9 |
| BAGEL-7B-MoT | 11.2 | 31.6 | 19.4 | 26.8 | 27.2 | 0.0 | 0.2 | 23.2 | 16.6 |
🚀 Release Progress
- VisWorld-Eval data
- VisWorld-Eval evaluation scripts
📜 Citation
If you find this project useful, please cite our paper as:
@article{wu2026visual,
title={Visual Generation Unlocks Human-Like Reasoning through Multimodal World Models},
author={Jialong Wu and Xiaoying Zhang and Hongyi Yuan and Xiangcheng Zhang and Tianhao
Huang and Changjing He and Chaoyi Deng and Renrui Zhang and Youbin Wu and Mingsheng
Long},
journal={arXiv preprint arXiv:2601.xxxxx},
year={2026},
}
🤝 Contact
If you have any questions, please contact wujialong0229@gmail.com.
💡 Acknowledgement
We sincerely appreciate the following projects for their valuable codebase and task design: SpatialViz, RBench-V, maze-dataset, Game-RL, clevr-dataset-gen, MMSI-Bench.
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