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4 April, 03:28

A water balloon slingshot launches its projectiles essentially from ground level at a speed of 27.5 m/s. (You can ignore air resistance.)

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  1. 4 April, 03:32
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    A) A range:

    R = v² sin 2 α / g

    The maximum range is when sin 2 α = 1, or when: 2 α = 90°

    α = 45°

    B) R = 27.5² · 1 / 9.81 = 77 m

    C) Time:

    T = 2 v sin α / g = 2 · 27.5 · sin 45° / 9.81 =

    = 2 · 27.5 · 0.7 / 9.81 = 3.92 s
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