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.

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.

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

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

Only object C has a constant velocity.

Answer 1

To determine whether either object has a constant velocity, we need to analyze the graphs of each object:

1. Object C: The graph is a concave-up function that slopes upward to the point (6, 32). Since the graph is concave up, it means that the velocity of object C is changing — it is accelerating. Thus, object C does not have a constant velocity.

2. Object D: The graph is a straight dashed line from the origin to the point (6, 25). A straight line indicates a constant change; therefore, the object moves with a constant velocity.

Based on this analysis, the only object that has a constant velocity is object D.

The correct response is: Only object D has a constant velocity.