2. You're an engineer and amusement park ride designer, and you've been consulting with three big amusement parks to help them build Seat your newest ride-the Sinusoidal Slingshot. Riders use an elevated no loading platform to get strapped into a seat attached to a tower. From the loading platform, which is already partway up the tower, the seat then launches either up or down, and continues to goes up and down the tower several times. Each amusement park can customize the Loading height of the ride, height of the loading platform, direction of launch, Platform and time to go from top to bottom.This problem continues from the previous page. (a) The amusement park Five Flags is still planning their ride. They give you the following list of customizations they want: . The seat should reach a minimum height of 5 feet off the ground and a maximum height of 100 feet off the ground. Amplitude : 100-5 . It should take 10 seconds for the seat to go from the bottom to the top. 2 . After loading, the seat should launch downwards, and should take 2 seconds to reach the = 47.5 bottom. Give a sinusoidal function f(t) that models the height of the seat from the ground, where t is measured in seconds after launch. (b) Galactic Studios was your first customer. Their customization of the ride, which is different from that of Five Flags, has been such a success that they've added a camera to take riders' pictures during the ride. They put the camera on a nearby building and they need your help figuring out when the camera should take the pictures. They provide you with the following graph of g(t), the function which describes the height of the seat of the Galactic Studios ride at time t seconds after launch. y = g(t) 1 2 3 5 6 7 8 9 10 11 12 13 They didn't include any information about the vertical axis on their graph, but they did say they already know that the first time the seat is at camera-height is exactly when t = 2.63 seconds. Find the next two exact times the seat is at camera-height. Be sure to explain how you are using the symmetry of graph to find the exact answers, as opposed to just estimating