Under the source of constant power a body start to move . Which one of following graph truly represents the change of displacement (s) with time (t) ?

Options

A.
B.
C.
D.

Answer

D

Explanation

`P = Fv`
`= ma s/t " " [ :. F = ma ,v = s/t]`
` = m xx s/(t^(2)) xxs/t " " [ :. a = s/(t^(2))] `
= In `(ms^(2))/(t^(3))`
P,m are constant
` :.s^(2) prop t^(3) " " :. "Graph of " sto t`
` :. S prop t(3/2) " " `same as in (D)