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The distance x of a particle moving in o...

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

A

2m

B

4m

C

5m

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D
`t=sqrt(x)+3rArrsqrt(x)=t-3`
`x=(t-4)^(2)=t^(2)-6t+9`
`x=t^(2)-6t+9`
`v=(dx)/(dt)=2t-6`
for `v=0,2t-6=0rArrt=3` sec
at t=3 sec
`x=(3-3)^(2)=0`
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