A carousel, or merry-go-round, is an amusement ride consisting of a rotating circular platform with seats for riders. Amy and Lynn are taking a ride on it with the elder of the two, Amy, sitting on the outer horse. Which of the following statements is correct?
a) The angular velocities of Amy and Lynn are the same.
b) The speed of Amy is greater than that of Lynn.
c) The centripetal accelerations of Amy and Lynn are the same.