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science

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a stone is thrown vertically upwards fron the edge of a cliff of height 100m, with a velocity of 9m/s. The stone then fall to the ground(the foot of the cluff). Determine the total time the stone will take to hit the ground

  • science -

    V = Vo + g*t.
    Tr = (V-Vo)/g = (0-9)/-9.8 = 0.918 s.

    Tf1 = Tr = 0.918 s. = Fall time from hmax to edge of cliff.

    h = Vo*t + 0.5g*t^2 = 100m.
    9*t + 4.9t^2 = 100
    4.9t^2 + 9t - 100 = 0.
    Use Quad. Formula.
    Tf2 = 3.69 s. = Fall time from edge of cliff to Gnd.

    T = Tr + Tf1 + Tf2.
    T = 0.918 + 0.918 + 3.69 = 5.53 = Total
    time in flight.

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