Mary and her younger brother alex decide to ride the 17-foot-diameter carousel at the state fair. mary sits on one of the horses in the outer section at a distance of 8 feet from the center. alex decides to play it safe and chooses to sit in the inner section at a distance of 5 feet from the center.(a) what is mary's angular speed ? m compared to that of alex's angular speed ? a? give your answer as a multiple of ? a.(b) what is mary's tangential speed vm compared to that of alex's tangential speed va? give your answer as a multiple of va.