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13 April, 08:35

A quarterback throws a football with an angle of elevation 55° and speed 60 ft/s. Find the horizontal and vertical components of the velocity vector. (Round your answers to one decimal place.)

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  1. 13 April, 09:48
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    The horizontal component of the velocity vector is;

    vh = 34.4 ft/s

    The vertical component of the velocity vector is;

    vy = 49.1 ft/s

    Explanation:

    Given;

    Velocity of football v = 60 ft/s

    Angle of elevation ∅ = 55°

    The horizontal component of the velocity vector is;

    vh = vcos∅

    Substituting the values;

    vh = 60cos55°

    vh = 34.41458618106 ft/s

    vh = 34.4 ft/s

    The vertical component of the velocity vector is;

    vy = vsin∅

    Substituting the values;

    vy = 60sin55°

    vy = 49.14912265733 ft/s

    vy = 49.1 ft/s
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