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21 October, 01:42

A basketball shooting guard shoots a free-throw with initial velocity v0 = 3.5 m/s at an angle θ = 22° above the horizontal. Use a Cartesian coordinate system with the origin located at the position the ball was released, with the ball's horizontal velocity in the positive x direction and vertical component in the positive y-direction. Assume the basketball encounters no air resistance.

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  1. 21 October, 05:10
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    3.425 m/s, 1.311 m/s

    Explanation:

    v0 = 3.5 m/s

    θ = 22°

    As teh velocity is a vector quantity, so there are two components of velocity.

    horizontal component is given by

    vx = vo Cos θ = 3.5 x cos 22 = 3.245 m/s

    vertical component is given by

    vy = vo Sin θ = 3.5 x Sin 22 = 1.311 m/s
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