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The position 'x' of a particle moving al...

The position 'x' of a particle moving along x-axis at any instant t represent by given equation
`t= sqrtx+3,` where x is in M , where x is in meters and t is in seconds. The position of particle at the instant when its velocity is zero.

A

Zero

B

12 m

C

18 m

D

6 m

Text Solution

Verified by Experts

The correct Answer is:
A

`t=sqrtx +3`
`sqrtx =t-3`
`x=(t-3)^(2)`
`(dx)/(dt)=2(t-2) t=0`
`x=9t^(2)-t^(3)`
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Knowledge Check

  • The position x of a particle moving along x - axis at time (t) is given by the equation t=sqrtx+2 , where x is in metres and t in seconds. Find the work done by the force in first four seconds

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  • 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.

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  • A particle moves along a straight line. Its position at any instant is given by x = 32t-(8t^3)/3 where x is in metres and t in seconds. Find the acceleration of the particle at the instant when particle is at rest.

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