Question

A merry go round ride has outer horse figures that go up and down exactly three times during one rotation of the carousel. One of the high points for each horse occurs where a rider is just close enough to reach out and try to grab a metal ring from a mechanical dispenser. If the rider succeeds in grabbing a brass ring instead of an iron ring, the rider has won a free ride on the merry go round. Write a sinusoidal function that models the height of one of the horse figures as a function of the rotation of the main carousel with theta=0 at the ring dispenser. The amplitude of those horse's

Answer 1

vertical motion is 1.1 meters around an average height of 1.6 meters.