Question
A dog's position relative to its owner through time is graphed below.
Which of the following scenarios could be described by the position vs. time graph above?
A.
The dog slowly approaches its owner then suddenly runs away.
B.
The dog runs away from its owner at its top speed.
C.
The dog slowly trots toward its owner.
D.
The dog sits perfectly still several meters in front of its owner.
Which of the following scenarios could be described by the position vs. time graph above?
A.
The dog slowly approaches its owner then suddenly runs away.
B.
The dog runs away from its owner at its top speed.
C.
The dog slowly trots toward its owner.
D.
The dog sits perfectly still several meters in front of its owner.
Answers
GPT-4o mini
To determine which scenario fits the description of the position vs. time graph, we need to analyze the general shape and trend of the graph.
1. **If the graph shows the dog's position increasing over time**: This could indicate that the dog is moving away from its owner.
2. **If the graph shows the dog's position decreasing**: This typically indicates the dog is approaching its owner.
3. **If the graph is a straight line with a consistent slope, it suggests a constant speed**. If the slope changes (either steepening or flattening), it indicates a change in speed.
4. **If the graph is horizontal for some time, it indicates the dog is stationary**.
Given the potential scenarios:
- **A. The dog slowly approaches its owner then suddenly runs away.**
- This would show an initial negative slope (approaching) followed by a sudden positive slope (running away).
- **B. The dog runs away from its owner at its top speed.**
- This would show a consistently positive slope (moving away) without changing.
- **C. The dog slowly trots toward its owner.**
- This would show a less steep, consistent negative slope (approaching).
- **D. The dog sits perfectly still several meters in front of its owner.**
- This would show a straight horizontal line parallel to the time axis.
Without seeing the actual graph, if we assume a typical behavior based on your descriptions:
- If the graph displays a constant positive slope, then **B** is correct.
- If there's a negative slope followed by a positive spike, then **A** would be appropriate.
- A gentle negative slope would indicate **C**.
- A horizontal line would lead us to **D**.
Each scenario describes different types of motion. Make sure to assess the graph you have based on these descriptions to determine the correct answer.
1. **If the graph shows the dog's position increasing over time**: This could indicate that the dog is moving away from its owner.
2. **If the graph shows the dog's position decreasing**: This typically indicates the dog is approaching its owner.
3. **If the graph is a straight line with a consistent slope, it suggests a constant speed**. If the slope changes (either steepening or flattening), it indicates a change in speed.
4. **If the graph is horizontal for some time, it indicates the dog is stationary**.
Given the potential scenarios:
- **A. The dog slowly approaches its owner then suddenly runs away.**
- This would show an initial negative slope (approaching) followed by a sudden positive slope (running away).
- **B. The dog runs away from its owner at its top speed.**
- This would show a consistently positive slope (moving away) without changing.
- **C. The dog slowly trots toward its owner.**
- This would show a less steep, consistent negative slope (approaching).
- **D. The dog sits perfectly still several meters in front of its owner.**
- This would show a straight horizontal line parallel to the time axis.
Without seeing the actual graph, if we assume a typical behavior based on your descriptions:
- If the graph displays a constant positive slope, then **B** is correct.
- If there's a negative slope followed by a positive spike, then **A** would be appropriate.
- A gentle negative slope would indicate **C**.
- A horizontal line would lead us to **D**.
Each scenario describes different types of motion. Make sure to assess the graph you have based on these descriptions to determine the correct answer.