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Textbook Expert
Textbook ExpertVerified Tutor
23 Oct 2021

Given information

The relation is given ,

 

Step-by-step explanation

Step 1.

Acceleration is the rate of change of velocity with respect to time.

For increasing velocity, the sign of    will be positive and for the decreasing velocity, the sign of    will be negative.

Divide both sides by v.

  

Apply chain rule,

  

  

  

    is the rate of change of the velocity with respect to displacement.

When the displacement increases, the velocity is increasing, when the displacement decreases, the velocity is decreasing.

 

 

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