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17 July, 22:48

Laura can jump a vertical distance of 0.85 m. What is the total time she is off the ground? With what velocity does she hit the ground?

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  1. 17 July, 22:52
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    0.42 s, - 4.1 m/s

    Explanation:

    The time it takes to reach 0.85 meters is the same as the time it takes to fall back to the ground.

    y = y₀ + vt - ½ at²

    0.85 m = 0 m + (0 m/s) t - ½ (-9.8 m/s²) t²

    t = 0.42 s

    It takes 0.42 seconds to reach the maximum height. So it takes another 0.42 seconds to land. Therefore, Laura is in the air for 0.84 seconds.

    v² = v₀² + 2a (y - y₀)

    v² = (0 m/s) ² + 2 (-9.8 m/s²) (0 m - 0.85 m)

    v = - 4.1 m/s

    Laura hits the ground at a velocity of - 4.1 m/s.
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