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A body is initially at rest. It undergoes one dimensional motion with constant acceleration. The power delivered to it at time t is proportional to [Uttarakhand PMT 2014)

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a

t1/2

b

t

c

t3/2

d

t2

answer is B.

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Detailed Solution

For an instantaneous displacement dx, we can writeP=dWdt=F·dxdt=F·vP=(F)(at)=(ma)(at) (∵F=ma)=ma2t⇒P∝t ∵ma2= constant

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A body is initially at rest. It undergoes one dimensional motion with constant acceleration. The power delivered to it at time t is proportional to [Uttarakhand PMT 2014)