Question

Suppose that a wave forms in shallow water. The depth d of the water (in feet) and the velocity v of the wave (in feet per second) are related by

the equation v= √32d. If a wave forms in water with a depth of 5.3 feet, what is its velocity?
Round your answer to the nearest tenth.

Answer 1

We are given the equation relating the velocity of a wave to the depth of the water as v= √32d. We are also given that the depth of the water is 5.3 feet. To find the velocity of the wave, we can substitute 5.3 for d in the equation and simplify:

v = √32d
v = √32(5.3)
v = √(169.6)
v ≈ 13.0

Rounding to the nearest tenth, the velocity of the wave in shallow water with a depth of 5.3 feet is approximately 13.0 feet per second.