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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.

3 answers

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.

<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

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.