Question

Suppose 8-in waves pass every 3 s. Write an equation that models the height of a water molecule as it moves from crest to crest.

Answer 1

y = 4 cos
`\frac{3\pi }4} x`

Explanation:

Since the period is
`(8)/(3)`, and a period is
`(2\pi )/(b)`, that makes the following equation:

`(8)/(3)`=
`(2\pi )/(b)`

`b=(3\pi )/(4)`, allowing us to display the final answer as y = 4 cos
`\frac{3\pi }4} x`.

Yeah, almost forgot, amplitude is going to be 4 since amplitude is from the middle to each end.

Actually, I don't know anymore. It's been a long time since I did sin and cosine wave things -_-