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

Both objects have a constant velocity.
Both objects have 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.
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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
5 hours ago

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

  1. Object C has a position-time graph that is concave up and slopes upward to the point (6, 32). This indicates that the velocity is changing—specifically, it is increasing over time. In a position-time graph, constant velocity corresponds to a straight line (linear graph), and since Object C's graph is curved, it does not have a constant velocity.

  2. Object D has a dashed line that slopes upward from the origin to the point (6, 25). Since this is a straight line, it indicates that Object D has a constant velocity.

Based on this analysis, the answer is:

Only object D has a constant velocity.