A Ferris wheel is 50 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 9 minutes. You make two complete revolutions on the wheel, starting at t = 0.

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.]

Period is___minutes.

Amplitude is ___ meters.

Midline is h = ___ meters.

1 answer

I already did this today with a 7 minute period
anyway
They gave you PERIOD = 9 minutes

Amplitude = wheel radius = 25 meters

midline at 5 + 25 = 30 meters

h = 30 - 25 cos (2 pi t/T )