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 v=√9.8d If a wave formed in shallow water has a velocity of 4.5 meters per seconds
, what is the depth of the water?
Using the equation v = √9.8d, we can plug in the given velocity of 4.5 m/s:
4.5 = √9.8d
Squaring both sides to solve for d, we have:
20.25 = 9.8d
Dividing by 9.8, we find:
d = 20.25 / 9.8 ≈ 2.07 meters
Therefore, the depth of the water is approximately 2.07 meters.