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11 December, 20:29

During a science experiment, your teacher drops a tennis ball out of a window. The ball hits the ground 3 seconds later. (a) What was the ball's speed when it hit the ground? Ignore air resistance. (b) What was the ball's average speed during the 3 seconds? (c) How high was the window?

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  1. 11 December, 20:38
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    a) 29.43 m/s

    b) 14.72 m/s

    c) 44.15 m

    Explanation:

    For this question, apply free Fall formula

    Given that a ball was dropped from a window and it took 3 seconds to hit ground, then;

    a) speed of ball when it hit ground was;

    v=gt where g is acceleration due to gravity and t is time the ball took to hit the ground

    v = 9.81 * 3 = 29.43 m/s

    b) Average speed = (initial velocity + final velocity) / 2

    Initial velocity = 0m/s

    Final velocity in 3 seconds = 29.43 m/s

    Average speed = (0 + 29.43) / 2 = 14.72 m/s

    c) Height of window is given by h=1/2 gt²

    t=3s

    g=9.81 m/s²

    h=1/2*9.81*3² = 44.15 m
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