Question

A series of ocean waves have the form f(x)=5sin⁡(30t)+7 feet, where the ocean floor is at f(x)=0 feet. What is the highest a wave reaches above the ocean floor? What is the period of the waves?

Answer 1

We have given the wave equation as

f(t)=5sin(30t)+7

We know the general equation is written as

Where A is amplitude of the wave and B is vertical shift .

From this equation of the wave we can simply say that the amplitude of the wave will be 5

So the highest point the ocean reaches is (5+7) feet which is simply 12 feet

Now we need to find the time period , from the wave equation we have

So

So we get

T=0.2094395102393 s