An automobile of mass m accelerates, starting from rest, while the engine supplies constant power P. Find its position and instantaneous velocity at time t assuming the automobile starts from rest.

Options

A. `[Pt//m]^(1//2)`
B. `[2Pt//M]^(1//2)`
C. `[Pt//2M]^(1//2)`
D. `[Pt//4M]^(1//2)`

Answer

B

Explanation

Fv=P. or `M(dv)/(dt)v=P`
That is `int vdv=int(P)/(M)dt`
Hence v`[2Pt/M]^(1//2)`