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Question

A body of mass m accelerates uniformly from rest to velocity v1 in time interval T1. The instantaneous power delivered to the body as a function of time t is:

A
mv21T21t
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B
mv1T21t
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C
(mv1T1)2t
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D
mv21T1t2
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Solution

The correct option is D mv21T21t
Let a be the constant acceleration
Using 1st equation of motion
v1=u+aT1
v1=0+aT1
a=v1T1..........(i)
At any instant t, the velocity v of the body
v=0+at
v=v1T1t.........(ii)
P=Fv
P=mav
P=m(v1T1)(v1T1t)
P=mv21T21t

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