Advanced Mathematical Decision-Making Modeling a Ferris Wheel Project As you ride the Ferris wheel, your distance from the ground varies sinusoidally with time. When the last seat is filled and the Ferris wheel starts, your seat is at the position shown in the figure at the right. Let t be the number of seconds that have elapsed since the Ferris wheel started. You nd that it takes you 5 seconds to reach the top, 53 feet above the ground, and that the wheel makes a revolution once every 20 seconds. The diameter of the wheel is 53 feet. Use this information to answer the following questions. 1. At what time are you at the top of the Ferris wheel the first time? 2. At what time are you at the top of the Ferris wheei for the second time? 3. What is the lowest you go as the Ferris wheei turns and why is this greater than zero? A. At what time are you at the bottom of the Ferris wheel for the first time? (HINT: you'll be at the bottom exactly half way between your first and second time at the top}. 5. Find the height that is exactly halfway between the lowest and highest point on your revolution. What is this height? At what two times will you reach this height during your first revolution? Height First time Second Time