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Question:

A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P0. The instantaneous velocity of this car is proportional to?

t/√m

t1/2

t2P0

t𕒵/2

Solution:

P0=F.v=mav
P0=mvdv/dt
∫mvdv=∫P0dt
mv²/2=P0t
v∝√t