The speed v reached by a car of mass m in travelling a distance x, driven with constant power P, is given by

Options

A. `v(3xp)/m`
B. `v=((3xP)/m)^(1//2)`
C. `v=((3xp)/m)^(1//3)`
D. `v=((3xp)/m)^(2)`

Answer

C

Explanation

`P=Fv=mv(dv)/(dx)v` or `v^(2)(dv)/(dx)=P/mrArrv=((3xP)/m)^(1//3)`