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

Answer:

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

Step-by-step explanation:

Since the period is $\frac{8}{3}$, and a period is $\frac{2\pi }{b}$, that makes the following equation:

$\frac{8}{3}$=$\frac{2\pi }{b}$

$b=\frac{3\pi }{4}$, 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 -_-