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

Both objects have a constant velocity.
Both objects have 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.

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

Answer 1

To determine whether either object has a constant velocity, we need to analyze the shape of their position-time graphs.

• Object C: The graph is a concave-up curve that slopes upward. This indicates that the velocity of object C is changing over time, as a curve suggests acceleration (the slope of a curve changes along the time axis).

• Object D: The graph is a straight dashed line that slopes upward from the origin to the point (6, 25). A straight line in a position-time graph indicates that the object is moving with a constant velocity, as the slope remains the same throughout the time interval.

Given this analysis:

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

Therefore, the correct response is: Only object D has a constant velocity.