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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.Neither object has a constant velocity.Neither object has a constant velocity.Only object C has a constant velocity.

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To determine if either object has a constant velocity, we can analyze the characteristics of each graph:

  1. Object D: The graph for object D is a straight dashed line from the point (0, 0) to (6, 25). Because this line is straight, it indicates that the velocity is constant over the time interval, as a straight line on a position-time graph represents a constant rate of change in position.

  2. Object C: The graph for object C is a concave up curve that starts below object D and rises to (6, 32). The curvature of the graph indicates that the object's velocity is changing; specifically, because the graph is concave up, the object is accelerating (its position is increasing at an increasing rate) during the time interval.

Based on this analysis:

  • Only object D has a constant velocity.
  • Object C does not have a constant velocity because it is accelerating.

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