Use the position-time graphs for object C and object D to answer the question.

Question

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.

Does either object have a constant velocity?

(1 point)
Responses

Neither object has a constant velocity.
Neither object has a constant velocity.

Only object C has a constant velocity.
Only object C has a constant velocity.

Both objects have a constant velocity.
Both objects have a constant velocity.

Only object D has a constant velocity.

Answer 1

To determine if either object has a constant velocity, we need to consider how the position changes with time for both objects.

• Object C has a concave up graph that slopes upward to the point (6, 32). This indicates that the velocity of object C is not constant because the concave shape suggests that its speed is increasing over time.

• Object D has a straight dashed line that slopes upward from the origin to the point (6, 25). A straight line indicates a constant velocity, as the position is changing at a constant rate over time.

Based on this analysis:

• Object C does not have a constant velocity.
• Object D does have a constant velocity.

Thus, the correct response is:

Only object D has a constant velocity.