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9 September, 04:33

Suppose that a wave forms in shallow water. The depth of the water d (in feet) and the velocity of the wave v (in feet per second) are related by the equation v = sqrt 32d. If a wave forms in water with a depth of 8.5 feet, what is its velocity?

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  1. 9 September, 05:33
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    Its velocity is 16.5 feet/sec

    Explanation:

    Since the depth of the water 'd' (in feet) and the velocity of the wave 'v' (in feet per second) are related by the equation

    v = √ (32d)

    a wave forms in water with a depth of 8.5 feet, therefore d = 8.5 ft

    velocity = √ (32 x 8.5)

    = √272

    = 16.49 feet/sec

    ≈ 16.5 ft/s
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