Milton is floating in an inner tube in a wave pool. He is 1.5 m from the bottom of the pool when he is at the trough of a wave. A stopwatch starts timing at this point. In 1.25 s, he is on the crest of the wave, 2.1 m from the bottom of the pool. a) Determine the equation of the function that expresses Milton's distance from the bottom of the pool in terms of time.

Question

anonymous · Answer

How can you express the motion of a wave?

anonymous · Answer

by sinusoidal function..

anonymous · Answer

Do you know how the values around sin after it on the graph?
I belive you should be able to find the formula for it and plug in the values

anonymous · Answer

I'm... not sure, sorry, I'm pretty out of practice in this area.

kainui · Answer

First off, whenever I encounter a math problem that has some real world relationship, I draw it out. Draw out his motion in the up-down against time on a graph in something like this:|dw:1338425447154:dw|

One thing to mention is that he starts at a trough, so consider that the cosine function starts at a crest. You can use the sine or cosine function, but it might be easier to make it a negative cosine function.