If a box of supplies is dropped from the cargo hold of an airplane travelling at an altitude of 4,410 meters how long will it take to reach

Question

If a box of supplies is dropped from the cargo hold of an airplane travelling at an altitude of 4,410 meters how long will it take to reach the ground!

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Diễm Kiều 3 years 2021-08-30T11:40:08+00:00 1 Answers 5 views 0

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  1. minhkhue
    0
    2021-08-30T11:41:19+00:00
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    Answer:

    It will take 30 seconds to reach the ground, and it will be travelling at 294 m/s when it does so. This means that its average velocity was 147 m/s.

    Explanation:

    d=v_ot+\dfrac{1}{2}at^2

    Since the initial velocity of a dropped object is 0, we can make this the equation:

    d=\dfrac{1}{2}at^2 \\\\4410=\dfac{1}{2}(9.8)t^2 \\\\t^2=900

    t=30\text{ seconds}

    The final velocity can be calculated with the formula:

    v_f=v_o+at

    Once again, since there is no initial velocity:

    v_f=at \\\\v_f=(9.8)(30)=294m/s

    Since the initial velocity is 0, the average vertical velocity is 294/2=147 m/s.

    Hope this helps!

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