The speed of ocean waves approaching the shore is given by the formula

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

The speed of ocean waves approaching the shore is given by the formula v=ghv=\sqrt{gh}, where hh is the depth of water. What is the speed of water waves near the shore where the depth is 1.0 m? Assuming the depth of the water decreases uniformly, make a graph of water wave speed as a function of water depth from 1.0 m to a depth of 0.30 m.

Related theory

Browse the problem library