1
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Question

# A body of mass m accelerates uniformly from rest to v1 in time t1. The instantaneous power delivered to the body as a function of time t is:

A
mv1tt1
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B
mv21tt21
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C
mv1t2t1
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D
mv21tt1
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Solution

## The correct option is B mv21tt21Given a mass m acquiring velocity v1 from rest in time t1The acceleration of the particle will be a = v1−ut1a = v1t1The velocity of the particle at any time t will bev=u+atv=atThe instantaneous power is given by P = Fv (force times the instantaneous velocity)P = mavP = ma2tP = mv12t12t

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