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

Explanation

Fv=P
`m(dv)/(dt)v=P`
`intv dv=intP/m dt`
`v prop t^(1//2)`
` x prop t^(3//2)`