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

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.

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

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

1 answer

To analyze the velocity vs. time graph that you've described, the slope of each line represents the acceleration of the objects. Since the line for object C has a higher slope than the line for object D, this indicates that object C has a greater acceleration.

Therefore, the accurate comparison of the motions for objects C and D is:

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