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6 August, 02:27

a ball was 2.0 m off the ground and thrown horizontally. it traveled for 7.8 m before it hit the ground. what was the imitial speed of the ball

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  1. 6 August, 03:57
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    12 m/s

    Explanation:

    First, find the time it takes for the ball to fall 2.0 m.

    y = y₀ + v₀ t + ½ at²

    0 = 2.0 + (0) t + ½ (-9.8) t²

    0 = 2 - 4.9t²

    t = 0.639

    Find the velocity needed to travel 7.8 m in that time.

    x = x₀ + v₀ t + ½ at²

    7.8 = 0 + v₀ (0.639) + ½ (0) (0.639) ²

    7.8 = 0.639 v₀

    v₀ = 12.2

    Rounded to two significant figures, the initial velocity is 12 m/s.
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