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 = sqrt{32d} ). if a wave forms in water with a depth of 6.2 feet, what is its velocity?
round your answer to the nearest tenth.

feet per second

Explanation:

Step1: Substitute d=6.2 into the formula

$v = \sqrt{32 \times 6.2}$

Step2: Calculate inside the square root

$32 \times 6.2 = 198.4$

Step3: Compute the square root

$v = \sqrt{198.4} \approx 14.1$

Answer:

14.1 feet per second