Use this graph of velocity vs. time for two objects to answer the question.

A velocity versus time graph shows two lines sloping upward from the origin. The line with the higher slope is labeled, C, and the line with smaller slope is labeled, D.

Which statement makes an accurate comparison of the motions for objects C and D?

(1 point)
Responses

Objects C and D have different accelerations but the same velocity throughout the motion.
Objects C and D have different accelerations but the same velocity throughout the motion.

Object D has an acceleration that is greater than the acceleration for C.
Object D has an acceleration that is greater than the acceleration for C.

Object C has an acceleration that is greater than the acceleration for D.
Object C has an acceleration that is greater than the acceleration for D.

Objects C and D have different velocities but the same acceleration.

1 answer

The correct response is:

Object C has an acceleration that is greater than the acceleration for D.

This conclusion is based on the slopes of the lines on the velocity vs. time graph. The steeper the slope, the greater the acceleration. Since line C has a higher slope than line D, object C has a greater acceleration than object D.

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