A box is being displaced by a machine of fixed power along a straight line . The displacement is time t in proportional to

Options

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

Answer

D

Explanation

At t=0 let velocity and displacement be zero.
Now when v=0 and s=0 ,C=0 and `C^. =0`
In that case,
`s=(2sqrt(2))/(3) sqrt(p/m)(t+0)+0=2/3 sqrt((2p)/M) t^(3//2) or, s prop t^(3//2)`