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The distance S metres moved by a particl...

The distance S metres moved by a particle traveling in a straight line in t second is given by S = `45t +11t^2-t^3`. Find the time when the particle comes to rest.

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Knowledge Check

  • The displacement of a particle starting from rest (at t = 0) is given by s = 6t^(2)-t^(3) . The time in second at which the particle obtain zero velocity again is

    A
    2
    B
    4
    C
    6
    D
    8

  • The distance time graph of a particle moving in a straight line at time t makes angle 45^@ with respect to time axis. After one second, it makes angie 60^@ with respect to the time axis. What Is the acceleration of the particle?

    A
    `sqrt3-1`
    B
    `sqrt3+1`
    C
    `sqrt3`
    D
    1

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    A particle is travelling along a straight line OX. The distance x (in metres) of the particle from O at a time t is given by x=37+27t-t^(3) where t is time in seconds. The distance of the particle from O when it comes to rest is

    A particle moves in a straight line and its velocity v at time t seconds is given by v=(6t^(2)-2t+3) cm/sec. Find the distance travelled by the particle during the first 5 second after the start.

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