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.

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

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.

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

1 answer

Based on the description of the velocity vs. time graph, where object C has a higher slope than object D, we can conclude that:

  • The slope of a velocity vs. time graph represents acceleration.
  • Since object C has a higher slope, it has a greater acceleration compared to object D.

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.