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9 May, 12:56

How do I start to solve? Would appreciate a walk-thru!

A bird sitting 16ft above the ground in an apple tree dislodges an apple. After how many seconds does the apple land on the ground? (assuming that no branches will interfere with it's fall)

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  1. 9 May, 13:20
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    t = 1 second

    Step-by-step explanation:

    Given: h = 16 ft

    This movement is vertical free fall without initial velocity V₀ = 0

    We will accept value of g = 10 m/s², but we must convert meters in the ft.

    We know that 1 meter = 3.28 ft = > 10 meters = 32.8 ft

    According to this g = 32.8 ft/s²

    The formula for calculating height is:

    h = g · t² / 2 = > t² = 2 h / g = > t = √2 h / g

    t = √ 2 · 16 / 32.8 = √ 32/32.8 = √ 0.98 = 0.99 ≈ 1 second

    t = 1 second

    God with you!
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