A carnival ride is designed to allow the general public to experience high acceleration motion. The ride rotates about Point O in a horizontal circle such that the rider has a speed v0. The rider reclines on a platform Awhich rides on rollers such that friction is negligible. A mechanical stop prevents the platform from rolling down the incline. The carnival ride is modified so that 80 kg riders can move up and down the inclined wall as the speed of the ride increases. Knowing that the coefficient of static friction between the wall and the platform is 0.25, determine the range of values of the constant speed v0for which the platform will remain in the position shown. (Round the minimum velocity, vmin to three decimal places and the maximum velocity, vmax to two decimal places.)