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The displacement x of a particle moving ...

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.

A

0

B

3m

C

`-3m`

D

2m

Text Solution

Verified by Experts

Given ` t = sqr(x) + 3 rArr x = t^(2) - 6t + 9 rArr (dx)/(dt) = 2t - 6`
` rArr ` Instantaneous velocity, ` v = (dt)/(dx) = 2t – 6`
when `v = 0, 2t – 6 = 0 rArr t = 3 sec` . Thus at t = 3
sec,` x = (t^(2) – 6t + 9) = 0`
Hence correct answer is (A).
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