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?

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