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

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

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.

Answer 1

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

1. Object C: The graph is described as a concave up curve that slopes upward to the point (6, 32). Since the graph is concave up, this indicates that the velocity is changing (specifically, it is increasing). Therefore, object C does not have a constant velocity.

2. Object D: The graph for object D is a dashed line that slopes upward from the origin (0, 0) to the point (6, 25). A straight line on a position-time graph indicates constant velocity. Therefore, object D does maintain a constant velocity.

Based on this analysis:

• Only object D has a constant velocity.