Name: Date: Graded Assignment Extended Problems: Periodicity Solve the problems. When you have finished, submit this assignment to your teacher by the due date for full credit. Total score: ____ of 20 points The Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride. Sine function model: where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes. (Score for Question 1: ___ of 4 points) What is the period of the sine function model? Interpret the period you found in the context of the operation of the Ferris wheel. Answer: (Score for Question 2: ___ of 8 points) The duration of the ride is 15 min. How many times does the last passenger who boarded the ride make a complete loop on the