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^(2/3)`
D. `t^(2)`

Answer

B

Explanation

t
`P = (F)` (v)
` = (F) (F/m) t [ :. v = at = F/m t]`
`=(F/m)^(2) mt`
` :. P = a^(2) mt " "` [ a and m are constant ]
` :. P prop t `