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25 December, 15:59

During a baseball game, a batter hits a high pop-up. If the ball remains in the air for 6.82 s, how high does it rise? The acceleration of gravity is 9.8 m/s².

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  1. 25 December, 16:10
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    The answer is 56.98 m

    The dislocation (d) is:

    d = v1 * t + 1/2 * a * t²

    v1 - initial velocity

    t - time

    a - acceleration of gravity

    We know:

    d = ?

    v1 = ?

    t = 6.82 s / 2 = 3.41 (it reaches the peak at half time)

    a = - 9.8 m/s ²

    Let's first calculate v1:

    v2 = v1 + at

    v2 - final velocity (v2 = 0 when it reaches peak)

    0 = v1 + - 9.8 * 3.41

    0 = v1 - 33.418

    v1 = 33.418 m/s

    d = v1 * t + 1/2 * a * t²

    d = 33.418 * 3.41 + 1/2 * - 9.8 * 3.41²

    d = 113.96 - 56.98

    d = 56.98 m
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