Question

Suppose that a wave forms in shallow water. Then the depth d of the water (in meters) and the velocity v of the wave (in meters per second) are related by the equation =v9.8d. If a wave formed in shallow water has a velocity of 4.5 meters per second, what is the water's depth?

Answer 1

Explanation:

The depth d of the water (in meters) and the velocity v of the wave (in meters per second) are related by the equation as:

$v=9.8d$

We need to find the water's depth is a a wave formed in shallow water has a velocity of 4.5 m/s.

So,

$d=\dfrac{v}{9.8}\\\\d=\dfrac{4.5}{9.8}\\\\d=0.459\ m$

Hence, if the wave formed in shallow water has a velocity of 4.5 m/s, then the water's depth is 0.459 m.