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24 April, 00:53

A water balloon is dropped out of a fifth floor window and hits an unsuspecting person below 4.0 seconds later. The window is approximately

80 m high

10 m high

40 m high

160 m high

4 m high

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Answers (1)
  1. 24 April, 03:45
    0
    80 meters high

    Explanation:

    The velocity of the balloon would be g*t (I won't calculate, but will us this later)

    We know that the kinetic energy at the bottom equals the potential at the top.

    KE = PE

    1/2 * m * v^2 = m * g * h

    1/2 * m * (g * t) ^2 = m * g * h (substitution)

    1/2 * m * g^2 * t^2 = m * g * h

    1/2 * g * t^2 = h (simplification by dividing the commons between both sides)

    h = 1/2 * 9.81 * 4^2

    h = 78.48 m (roughly 80 m)
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