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A particle is moving along a straight li...

A particle is moving along a straight line OX. The displacement (x) from the point o and the time (t) taken are related as x = 40 +12t- `t^(3)`, where x is in metre and t in second. How far would the particle move before coming to rest ?

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The correct Answer is:
65 m
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Knowledge Check

  • Displacement (x) and time (t) of a particle in motion are related as x = at + bt^(2) -ct^(3) where a,b, and c, are constants. Velocity of the particle when its acceleration becomes zero is

    A
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    C
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    D
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  • The equation for the displacement of a particle moving on a circular path is given by theta=2t^3+0.5 where theta is in radian and t is in second . then the angular velocity of the particle after 2s from its start is

    A
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    B
    12 rad/s
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