A carousel is initially at rest. At t=0 it is given a constant angular acceleration a=0.060 rad/s2, which increases its angular velocity for 8.0s. At t=8s, determine
(a) the angular velocity of the corousel
(b) the linear velocity of a child located 2.5 m from the center of the carousel
(c) the child's tangential (linear) acceleration
(d) the child's centripetal acceleration
(e) the child's total acceleration and direction.