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

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.

Only object D has a constant velocity.
Only object D 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 characteristics of the graphs given.

1. Object C: The graph is concave up and slopes upward to the point (6, 32). A concave up curve indicates that the velocity is changing; specifically, the object is accelerating. Therefore, object C does not have a constant velocity.

2. Object D: The dashed line slopes upward from the origin to the point (6, 25). Because this is a straight line, it indicates a uniform motion with a constant slope. Thus, object D has a constant velocity.

Based on this analysis, the correct response is:

Only object D has a constant velocity.