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Velocity and Acceleration Quick Check

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Question
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.

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.

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

To compare the motions of objects C and D using the velocity vs. time graph, we need to evaluate the slopes of the lines representing each object.

  1. The slope of the velocity vs. time graph represents acceleration.
  2. Since C has a higher slope than D, this indicates that C has a greater acceleration than D.

Based on this analysis, the correct statement is:

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

(Note: If your responses included an option with that exact wording, that is the answer to select.)