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The position of a particle moving along...

The position of a particle moving along the y-axis is given as `y=3t^(2)-t^(3)` where `y` is in , metres and t is in sec.The time when the particle attains maximum positive y position will be

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Knowledge Check

  • The position of the particle moving along Y -axis is given as y=At^(2)-Bt^(3) , where y is measured in metre and t in second. Then, the dimensions of B are

    A
    `["LT"^(-2)]`
    B
    `["LT"^(-1)]`
    C
    `["LT"^(-3)]`
    D
    `["MLT"^(-2)]`
  • Position of particle moving along x-axis is given as x=2+5t+7t^(2) then calculate :

    A
    Velocity `(i.e(dx)/(dt))` of particle
    B
    Initial velocity`(i.e(dx)/(dt)" att"=0)`
    C
    Velocity at `t=2sec`
    D
    Accleration`(i.e(d^(2)x)/(dt^(2)))` of particle
  • The position of a particle with respect to time t along y-axis is given by : y = 12t^2 – 2t^3 , where, y is in metres and t is in seconds. When the particle achieves maximum speed, the position of the particle would be

    A
    64 m
    B
    40 m
    C
    16 m
    D
    32 m
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    The position x of a particle with respect to time t along the x-axis is given by x=9t^(2)-t^(3) where x is in meter and t in second. What will be the position of this particle when it achieves maximum speed along the positive x direction