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QAIPM-2012-Ph-1649: NEET 2012 Physics - Class 11 AIPM-2012-Ph-1649 Solution: A car of mass m starts from rest and accelerates so that the…

A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude

P_0

. The instantaneous velocity of this car is proportional to

t^2P_0

t^{1/2}

t^{-1/2}

t/\sqrt{m}

Multiple Choice Options

A t 2 P 0
B t 1/2
C t $-$ _ 1/2
D ${t \over {\sqrt m }}$ m _ t _

Step-by-Step Verified Solution

Constant power of car P 0 = F.V = ma.v P 0 = m d v d t . v P 0 dt = mvdv Integrating P 0 . t = m v 2 2 v = 2 P 0 t m _ P 0 , m and 2 are constant _ v _ t

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