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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 meters and t is in seconds. Finds the displacement (in metres ) of the particle when its velocity is zero.

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Knowledge Check

  • The displacement of a body of mass 3 kg under the action of a force is s=(t^2)/(3) metre. The work done in time 2s by the same force (in J) is

    A
    2
    B
    3.8
    C
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    D
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  • The displacement (x) and the velocity (v) of a particle moving in the positive x-direction are related as v = 10sqrtx . At t = 0, the particle was at x = 0. Then,

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    B
    Initial velocity of the particle was `1.5 m/s^2`
    C
    The acceleration of the particle is `1.5 m/s^2`
    D
    The acceleration of the particle is `50 m/s^2`

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