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26 December, 04:45

What is the distance fallen for a freely falling object 1 s after being dropped from a rest position? What is the distance for a 4-s drop?

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  1. 26 December, 05:00
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    Distance traveled in 1 second after drop is 4.9 mDistance traveled in 4 seconds after drop is 78.4 m

    Explanation:

    We have s = ut + 0.5at²

    For a free falling object initial velocity u = 0 m/s and acceleration due to gravity, g = 9.8 m/s²

    Substituting

    s = 0 x t + 0.5 x 9.8 x t²

    s = 4.9t²

    We need to find distance traveled in 1 s and 4 s

    Distance traveled in 1 second

    s = 4.9 x 1² = 4.9 m

    Distance traveled in 4 seconds

    s = 4.9 x 4² = 78.4 m

    Distance traveled in 1 second after drop = 4.9 m

    Distance traveled in 4 seconds after drop = 78.4 m
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