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A hot-air balloon is rising upward with a constant speed of 2.27 m/s. When the balloon is 9.14 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?

I solve for the quadratic and get a negative?

  • Physics -

    h = Vo*t + 0.5g*t^2 = 9.14 m.
    -2.27t + 4.9*t^2 = 9.14
    4.9t^2 - 2.27t = 9.14
    4.9t^2 - 2.27t - 9.14 = 0
    t = 1.617 s.
    (Use Quad. Formula)

    NOTE: The initial velocity is negative,
    because its' movement is in a direction
    opposite to the falling object.

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