4. Ride: An amusement park ride is composed of a horizontal wheel of seats that can be raised or lowered during the ride. The seats are arrayed on a circle of radius R, and the wheel of seats makes one complete revolution in ts seconds about a vertical axis passing through the center of the ride. At the start of the ride the wheel is raised to the top of the ride, a distance of H above the starting height off the ground and is set into rotation about the vertical axis. The wheel of seats is then lowered with a constant vertical velocity of Vdrop while the wheel continues to rotate about the vertical axis of the ride. Answer the following in terms of the constants given. (a) What is the speed of a person sitting in one of the seats on the ride relative to an observer on the ground? (b) Find the magnitude and direction of the acceleration of this rider. (c) What is the angle between the rider's velocity vector and the horizontal during rider's descent