The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation `t=sqrt(x)+3`, where x is in meter and t is in second. Find the displacement of the particle when its velocity is zero.

Options

A. a. Zero
B. b. `12 m`
C. c. ` 6 m`
D. 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`.