A body is moving undirectionally under the influence of a source of constant power. It displacement in time t is proportional to (i) `t^(1//2)` (ii) t (iii) `t^(3//2)` (iv) `t^(2)`

Options

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

Answer

C

Explanation

`P=Fxxupsilno=(MLT^(2))(LT^(-1))`
`=M^(1)L^(2)T^(-3)=` constant
`:. L^(2) prop(1)/(T^(-3))` or `L^(2)propT^(3)` or `Lprop T^(3//2)`
or `Lprop t^(3//2)`