A body is initially at rest. It undergoes one dimensional motion with constant acceleration. The power delivered to it at time t is proportional to

Options

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

Answer

B

Explanation

(b) So, for an instantaneous displacement dx, we can write
`P=(dW)/(dt)=F.((dx)/(dt))=F.v`
`P=(F)(at)=(ma)(at)" " (therefore` F=ma)
`=(ma^(2))t rArr Ppropt" " (therefore ma^(2)="constant")`