Suppose that a wave forms in shallow water. Then the depth d of the water (in meters) and the velocity 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 5.1 meters per second, what is the water's depth?
To find the depth of the water, we need to use the equation v = √9.8d and solve for d when v = 5.1 meters per second.
√9.8d = 5.1
9.8d = 5.1^2 (squaring both sides to eliminate the square root)
9.8d = 26.01
d = 26.01 / 9.8
d ≈ 2.66 meters
Therefore, the water's depth is approximately 2.66 meters.