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Posted by on Sunday, September 9, 2012 at 12:37am.

A hot-air balloon is rising upward with a constant speed of 3.06 m/s. When the balloon is 9.31 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground?

  • physics - , Sunday, September 9, 2012 at 3:59am

    Solve this equation for t:

    height = 0 = 9.31 + 3.06 t - (g/2) t^2
    = - 4.9 t^2 + 3.06 t + 9.31

    There will be two answers since this is a quadratic equation. Take the positive one.

    t = (-1/9.8)[-3.06 - sqrt[(3.06)^2 + 182.5)]
    = 1.726 s

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