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

Options

A. zero
B. 1 m
C. 2 m
D. 3 m

Answer

a

Explanation

`tsqrt(x)+3 implies sqrt(x)=t-3 implies x=t^(2)+9-6t`
`(dx)/(dt)=2t-6 implies 0=2t-6 implies t=3 s`
`:. X=(3)^(2) +9-6xx3=0`
or `(dt)/(dx)=(1)/(2)x^(-1//2)+0 implies (dx)/(dt)=2x^(1//2)`
`implies 0=2x^(1//2) impliesx=0`