Question

An automobile of mass m accelerates, starting from rest. The engine supplies constant power P, show that the velocity is given as a function of time by `v=((2Pt)/(m))^(1//2)`

Answer 1

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)`