The question is as follows:
Jamie is riding a Ferris wheel that takes fifteen seconds for each complete revolution. The diameter of the wheel is $10$ meters and its center is $6$ meters above the ground. When is Jamie rising most rapidly? At what rate?
I know from the given the information that it takes fifteen seconds for each complete revolution that the ferris wheel is moving $24$ degrees/second. A parametric description of the movement of the ferris wheel is $(x, y) = (5\cos(24t), 5\sin(24t) + 6)$.
I am thinking that graphing an equation may be useful, but I don't know what equation to graph and find the maximum rate of increase. (I am not completely sure of the graphing method either.) Any help will be greatly appreciated.