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


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

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

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

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

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


Use This Graph Of Velocity Vs Time For Two Objects To Answer The Question Which Statement Makes An Accurate Comparison Of The Motions For Objects C And D A Obje class=

Answer :

Answer:

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

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Using derivatives, it is found that the correct option is:

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

The acceleration is the derivative of the velocity, given by change in velocity divided by change in time, that is:

[tex]a = \frac{\Delta_v}{\Delta_t}[/tex]

In this problem:

  • The change in time for objects C and T is the same.
  • The change in velocity for object C is greater, thus, it has a greater acceleration, and the correct option is:

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

A similar problem is given at https://brainly.com/question/14516604