Position, Distance, and Displacement Quick Check

Question

4 of 44 of 4 Items

Question
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.

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.
Both objects have a constant velocity.
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Answer 1

To determine if either object has a constant velocity, we need to analyze the position-time graphs of both objects.

1. Object C: The graph is described as a concave-up curve that slopes upward to the point (6, 32). This suggests that the velocity of object C is not constant because the rate of change of position is not uniform; it is increasing (accelerating) over time.

2. Object D: The graph is a dashed straight line that slopes upward from the origin to the point (6, 25). Since it is a straight line, this indicates that the velocity of object D is constant; it maintains the same rate of position change throughout.

Based on this analysis, the correct response to the question would be:

Only object D has a constant velocity.