A paddle wheel has a diameter of ft. When , Jenn notices a weed stuck to the top of the paddle, which is ft above the surface of the water. It takes seconds for the paddle to return to the same position. Write the equation of a function that will model the height of the weed above the water at any time .
A paddle wheel has a diameter of ft, so the amplitude is ___.
Since the top of the wheel is at ft above the water, the bottom of the wheel is at ft below the water. Hence the vertical shift is ___.
The period is seconds, so = ___.
When , the weed is at the top of the wheel, so use a (sine or cosine?) function.