Precalculus, Trig Ferris Wheel Question

Question

The Giant Sky Wheel is a Ferris wheel in Tokyo with a diameter of 100 meters that completes one full revolution every 16 minutes.¹ A rider boards at the bottom of the Ferris wheel which is 15 meters above the ground and rides for 32 minutes.



(a) Graph of the height, h, of the rider as a function of the time, t, after the rider boards the Ferris wheel. Use your graph to estimate the times during the first half hour of the ride at which the rider is 100 meters above the ground.

First time ≈  _minutes.

Second time ≈ _minutes.

Third time ≈ _minutes.

Fourth time ≈ _minutes.

(b) Find, to the nearest second, the times during the first half hour of the ride at which the rider is 100 meters above the ground.

First time = _seconds and _minutes

Second time = _seconds and _minutes

Third time =_seconds and _minutes

Fourth time = _seconds and _minutes

Answer 1

seat height=-r(cos(πt/(revtime/2))+d+base h