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a ball is thrown vertically upward from the ground level with an initial velocity "Vo" - V sub zero

a. derive a formula for the time at w/c the ball hit the ground

b. use the formula to prove that the impact velocity by the ball is -Vo

  • math -

    h(t) = Vot - 1/2 a t^2
    = t(Vo - a/2 t)

    h=0 when t=0 or t=2Vo/a)

    v(t) = Vo - at
    at t=2Vo/a, v = Vo - a(2Vo/a) = -Vo

    Makes sense, since the ball falls just as far as it rises.

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