An automobile of mass m accelerates from rest. If the engine supplies a constant power P, the velocity at time t is given by -

Explanation

Power,P=constant
Work done up to time t is W =Pt
From work energy theorem,
`W=DeltaKE " or "Pt=(1)/(2)mv^(2)`
`:. " " v=((2Pt)/(m))^(1//2)`