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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.

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

To determine the correct statement regarding the motions of objects C and D based on the velocity vs. time graph described, we need to understand how slope relates to acceleration.

  1. Slope of the Line: In a velocity vs. time graph, the slope of the line represents the acceleration. A steeper slope indicates a greater acceleration.
  2. Comparison of Slopes: You indicated that the line for object C has a higher slope than that for object D. This means that object C has a greater acceleration than object D.

Given this information, the accurate statement comparing the motions for objects C and D is:

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