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6 March, 09:35

What is the forward velocity of a 250 lb stone projectile that leaves a medieval catapult 55 degrees from the ground at 50 m/s?

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  1. 6 March, 11:24
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    28.5 m/s

    Explanation:

    The speed has two orthogonal components, horizontal and vertical. To decompose the speed into these components we can use these trigonometric equations:

    Vh = V * cos (a)

    Vv = V * sin (a)

    The forwards velocity is the horizontal component, so we use

    Vh = V * cos (a)

    Vh = 50 * cos (55)

    Vh = 50 * 0.57

    Vh = 28.5 m/s
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