A body is moved along a straight line by a machine delivering constant power, the distance moved by the body in time in proportional to :

Options

A. `t^(3//2)`
B. `t^(3//4)`
C. `t^(2)`
D. `t^(1//2)`

Answer

a

Explanation

Since Power is constant .
`:. ML^(2)T^(-3)`= constant
As M is constant
`:. L^(2)T^(-3)const. implies L^(2) propT^(3) LpropT^(3//2)`
or distance `prop` `("time")^(3//2)`