A Ferris wheel of radius 100 feet is rotating at a constant angular speed ω rad/sec counterclockwise. Using a stopwatch, the rider finds it takes 4 seconds to go from the lowest point on the ride to a point Q, which is level with the top of a 44 ft pole. Assume the lowest point of the ride is 3 feet above ground level. Let q(t)=(x(t),y(t)) be the coordinates of the rider at time t seconds; i. e., the parametric equations. assuming the rider begins at the lowest point on the wheel, then the parametric equations will have the form: x(t)=rcos(ωt-ω/2) and y(t)=rsin(ωt -ω/2), where r,ω can be determined from the information given. provide answers below accurate to 3 decimal places. (note: we have imposed a coordinate system so that the center of the ferris wheel is the origin. there are other ways to impose coordinates, leading to different parametric equations.)

Find r, ω during the first revolution of the wheel, find the times when the rider's height above the ground is 80 feet.