A Ferris wheel with a 30 ft radius makes one revolution every 10 sec:
a) Assume that the center of the Ferris wheel is located at the point (0,40), and write parametric equations to model its motion.
b)At t=0 the point P on the Ferris wheel is located at (30,40). Find the rate of horizontal movement, and the rate of vertical movement of the point P when t=5sec and t=8 sec.
For a, I think the answer is x=30cost, and y=30sint+40, since the radius is 30ft and it's center is at (0,40), but i think I'm wrong.
For b, I'm not too sure. The concept of horizontal and vertical movement isn't clear to me, especially when t is a value.
Please show work and have the answers, so I won't have to keep guessing, thank you.