The displacement `x` of a particle moving in one dismension under the action of a constant force is frlated to time `t` by the equation `tsqrtx+3`, where `x` is in merers and `t` is in seconds, Find the displacemect of the particle when its velocity is zero.

Options

A. Zero
B. `12 m`
C. ` 6 m`
D. ` 18 m`

Answer

A

Explanation

`t sqrt x=3`,
Differentiating with respect to `t`, we get
`1=(1)/(2sqrt x) (dx)/(dt) +0` or `(dx)/(dt) =2 sqrt x`
When velocity is zero, `2sqrt x =0` or `x=0`.