A Ferris wheel is 40 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes one full revolution every 7 minutes. You make two complete revolutions on the wheel, starting at t = 0.

Question

Graph h = f(t), where h is the height above the ground (in meters) at time t, in minutes. Indicate the period, the amplitude, and the midline of your graph. [Hint: first determine an appropriate interval for t, with t ≥ 0.]

Answer 1

r = 20

period = 7 min = T

when t = 0
h = 5 at t = 0 and wheel does rotation between h = 5 and h = 45
center at h = 25
so of form
h = 25 - 20 cos (2 pi t/T )