what is the velocity of a ball right before it hits the ground if it falls from a 2.5 m bookshelf?

Question

what is the velocity of a ball right before it hits the ground if it falls from a 2.5 m bookshelf?

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Đan Thu 4 years 2021-08-21T21:11:02+00:00 1 Answers 26 views 0

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    2021-08-21T21:12:36+00:00

    Answer:

    vf = 7 m/s

    Explanation:

    The final velocity of the ball right before it hits the ground can be found by using the third equation of motion:

    2gh = v_f^2 - v_i^2

    where,

    g = acceleration due to gravity = 9.81 m/s²

    h = height = 2.5 m

    vf = final velocity = ?

    vi = initial velocity =  0 m/s

    Therefore,

    2(9.81\ m/s^2)(2.5\ m) = v_f^2 - (0\ m/s)^2\\v_f = \sqrt{49.05\ m^2/s^2}\\

    vf = 7 m/s

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