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 D has a constant velocity.
Only object D has a constant velocity.

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

Both objects have a constant velocity.

Answer 1

To determine whether either object has a constant velocity, we analyze the graphs:

• Object C: The graph is concave up and slopes upward to the point (6, 32). This indicates that the object's velocity is changing over time—specifically, because it is concave up, the object is accelerating.

• Object D: The graph is a straight dashed line that slopes upward from the origin to the point (6, 25). A straight line indicates that the object's velocity is constant throughout the time interval.

Based on this analysis:

• Object C does not have a constant velocity (it is accelerating).
• Object D does have a constant velocity (it moves at a steady rate).

Therefore, the correct choice is:

Only object D has a constant velocity.