A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to

Options

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

Answer

c

Explanation

`P = Fv = mav = m (v//t) v = m (s//t) xx (1//t) xx (s//t)`
`P = ms^(2)//t^(3), s^(2) prop t^(3), s prop t^(3//2)`