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If the acceleration of a particle at tim...

If the acceleration of a particle at time t seconds be `1.2t^(2)ft//s^(2)` and velocity of the particle at time 2 seconds be 2.2 ft/s, then find its velocity at time 5 seconds.

Text Solution

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The correct Answer is:
49 cm/s
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Knowledge Check

  • The displacement (s ) of a particle depends on time (t) as s = 2at^(2)-bt^(3) . Then

    A
    the particle will come to rest after a time `(4a)/(3b)`
    B
    the particle comes back to the starting point after a time `(2a)/(b)`
    C
    the acceleration is zero at a time `(2a)/(3b)`
    D
    the initial velocity is zero but the initial acceleration is not
  • A particle moves in x y plane. The position vector of the particle at any time t is vecr = {(2t) hati+(2t^2)hatj}m . The rate of change of at time t = 2 sec (where theta is the angle which its velocity vector makes with positive x axis) is :

    A
    2/(17) rad/(sec)
    B
    1/(14) rad/(sec)
    C
    4/7 rad/(sec)
    D
    6/5 rad/(sec)
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