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A person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of vi = 16 m/s. The cliff is h = 60 m above the water's surface, as shown below. How long does it take for the stone to fall to the water? With what speed does it strike the water?

  • physics -

    h = Vo*t + 0.5g*t^2 = 60 m.
    16t + 4.9t^2 = 60
    4.9t^2 + 16t - 60 = 0
    Use Quad. Formula.
    Tf = 2.23 s. = Fall time.

    V = Vo + gt = 16 + 9.8*2.23 = 37.86 m/s.

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