physics

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a body moves in a straight line with initial velocity and uniform acceleration.find how far it travels in12s,given that it travel 246m in the 1st 6seconds,and 69m in the last 3seconds.find also the initial velocity.

  • physics -

    V = Vo + a t
    X = Vo*t + (a/2) t^2 (distance travelled at time t)
    Vo is the initial velocity and a is the acceleration.

    Velocity at t = 10.5 s = 69/3 = 23 m/s
    Velocity at t = 3 s = 246/6 = 41 m/s
    Acceleration = (23 - 41)/7.5 = -2.4 m/s^2

    41 = Vo + 3a = Vo - 7.2
    Vo = 48.2 m/s

    Total distance travelled at t = 12 s
    = 48.2*12 - 1.2*144 = 405.6 m

  • physics -

    thanks alot

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