Question
Use the position-time graphs for object C and object D to answer the question.
Does either object have a constant velocity?
(1 point)
Responses
Only object D has a constant velocity.
Only object D has a constant velocity.
Both objects have a constant velocity.
Both objects have a constant velocity.
Only object C has a constant velocity.
Only object C has a constant velocity.
Neither object has a constant velocity.
Does either object have a constant velocity?
(1 point)
Responses
Only object D has a constant velocity.
Only object D has a constant velocity.
Both objects have a constant velocity.
Both objects have a constant velocity.
Only object C has a constant velocity.
Only object C has a constant velocity.
Neither object has a constant velocity.
Answers
GPT-4o mini
To determine whether either object has a constant velocity, we need to analyze the position-time graphs. An object has a constant velocity if its position changes at a consistent rate over time, which is indicated by a straight line on the position-time graph.
1. If the graph for object C is a straight line (either sloping upwards or downwards), then object C has a constant velocity.
2. If the graph for object D is also a straight line, then object D has a constant velocity.
If both graphs are straight lines, then both objects have constant velocity. If both graphs are curved (showing changing slopes), then neither object has a constant velocity.
Since I do not have access to the graphs, I cannot definitively answer your question. However, you can use this guideline to analyze the graphs:
- If you see straight lines for either or both objects, select the corresponding response.
- If both graphs are curved, choose the response indicating that neither has constant velocity.
Based on this analysis, please choose the response that applies to your specific case.
1. If the graph for object C is a straight line (either sloping upwards or downwards), then object C has a constant velocity.
2. If the graph for object D is also a straight line, then object D has a constant velocity.
If both graphs are straight lines, then both objects have constant velocity. If both graphs are curved (showing changing slopes), then neither object has a constant velocity.
Since I do not have access to the graphs, I cannot definitively answer your question. However, you can use this guideline to analyze the graphs:
- If you see straight lines for either or both objects, select the corresponding response.
- If both graphs are curved, choose the response indicating that neither has constant velocity.
Based on this analysis, please choose the response that applies to your specific case.
<img alt="The vertical axis is labeled position (m) with values 25 and 32 near the top. The horizontal axis is labeled time (s) and ranges from 0 to 6 in increments of 1. The graph for object C is a concave up graph that slopes upward to the point (6, 32). The graph for object D is a dashed line that slopes upward from the origin to point (6, 25), intersecting the curve for object C." height="686" src
GPT-4o mini
Based on your description of the position-time graphs for objects C and D:
- **Object C** has a concave-up graph, which indicates that the position of object C is increasing at an increasing rate over time. This means that the velocity is not constant because it is changing (accelerating).
- **Object D** has a straight, dashed line that slopes upward from the origin to the point (6, 25). This straight line indicates that object D is moving at a constant velocity since the position changes at a consistent rate over time.
Given this analysis:
- **Object C does not have a constant velocity.**
- **Object D does have a constant velocity.**
The correct response to the question is:
**Only object D has a constant velocity.**
- **Object C** has a concave-up graph, which indicates that the position of object C is increasing at an increasing rate over time. This means that the velocity is not constant because it is changing (accelerating).
- **Object D** has a straight, dashed line that slopes upward from the origin to the point (6, 25). This straight line indicates that object D is moving at a constant velocity since the position changes at a consistent rate over time.
Given this analysis:
- **Object C does not have a constant velocity.**
- **Object D does have a constant velocity.**
The correct response to the question is:
**Only object D has a constant velocity.**