A hot-air balloon is rising upward with a constant speed of 2.85 m/s. When the balloon is 2.50 m above the ground, the balloonist accidental

Question

A hot-air balloon is rising upward with a constant speed of 2.85 m/s. When the balloon is 2.50 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

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Euphemia 4 years 2021-07-14T06:10:57+00:00 1 Answers 52 views 0

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    2021-07-14T06:12:11+00:00

    Answer:

    Explanation:

    You have to declare which way is plus — up or down. I will use down.

    vi = – 2.85       The balloon is going up. That is the minus direction.

    a = 9.81

    d =   2.50 meters  distance in this case is from the object to the ground.

    d = vi*t + 1/2 a t^2

    -2.50 = -2.85*t + 1/2 * 9.81 * t^2

    -2.50 = -2.85*t + 4.905 * t^2           transfer the left to the right.

    -4.905 t^2 + 2.85*t + 2.50 = 0

    Use the quadratic formula to solve for t.

    It turns out that t = 1.06

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