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)

An automobile of mass m accelerates, starting from rest. The engine su

1.	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» Solution :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)`