physics

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A students on a balcony uses a slingshot to shoots rock straight up

at 29.4 m/s. If the rock takes 8.0 s seconds to hit the ground below the balcony, how high is the balcony above the ground?

  • physics -

    The velocity 0f the rock is zero at its' max. height:

    Vf = Vo + gt = 0,
    29.4 - 9.8t = 0,
    -9.8t = -29.4,
    t = -29.4 / -9.8 = 3s to reach max height
    Time in flight = 8s.
    Fall time = 8 - 3 = 5s,

    d = 0*5 + 0.5*9.8*5^2,
    d = 0 + 122.5 = 122.5m to gnd.

    h = 122.5 - 44.1 = 78.4m.





























    = 4.9*3^2,
    d = 88.2 - 44.1 = 44.1m up.

  • physics -

    Oops!!

    d (up) = Vo*t + 0.5*gt^2,
    d (up) = 29.4*3 + 0.5*(-9.8)3^2,
    d (up) = 88.2 - 44.1 = 44.1m.

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