A child tries to swing an adult size baseball bat without choking up on it. She can manage only 180 °/s of angular velocity with a radius of 75 cm. But then she chokes up on the bat thereby reducing the radius of rotation by 15 cm. She can now generate an angular velocity of 290 deg/s. Compute the linear velocity of the endpoint of the bat in each case in m/s (watch your units!). show work please work!