A baton twirler throws a spinning baton directly upward. As it goes up and returns to the twirler’s hand, the baton turns through 2.9 revolutions. Ignoring air resistance and assuming that the average angular speed of the baton is 8.7 rad/s, determine the height to which the center of the baton travels above the point of release.

A baton twirler throws a spinning baton directly upward. As it goes up and returns to the twirler’s hand, the baton turns through 2.9 revolutions. Ignoring air resistance and assuming that the average angular speed of the baton is 8.7 rad/s, determine the height to which the center of the baton travels above the point of release.