If the displacement of a particle varies with time as `sqrt x = t+ 3`

Options

A. velocity of the particle is inversely proportional to t
B. velocity of particle varies linearly with t
C. velocity of particle is proportional to `sqrt t`
D. initial velocity of the particle is zero

Answer

B

Explanation

`sqrtx=t+3`
`:. x=(t+3)^2`
or `v=(dx)/(dt)`
`=2(t+3)`
`:.` v-t equation is linear