The velocity 'v' reached by a car of mass 'm' on moving a certain distance from the starting point when driven by a motor with constant power 'P' is such that

Options

A. `v prop (3P)/(m)`
B. `v^(2) prop (3P)/(m)`
C. `v^(3) prop (3P)/(m)`
D. `v prop ((3P)/(m))^(2)`

Answer

C

Explanation

`P=F.v , P = mv^(2) (dv)/(ds) , int v^(2) dv= int (P)/(m) ds`.