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

Answer

c

Explanation

Since `P=Fv=(Fs)/(t)impliesFx=Pt` or `Fs prop t`
Now `1/2at^(2)=simplies a prop (s)/(t^(2))`
`:.` (i) gives `(s)/(t^(2)).s prop timpliess^(2)propt^(3)impliess prop T^(3/2)`