A pitcher accelerates a softball from a tangential velocity of 1.2 m/s (clockwise motion) to 15.9 m/s (counter clockwise motion) over 0.27 s and then releases the ball. Assume angular acceleration is constant throughout the motion, and the pitcher's arm is 0.56 meters long.

A) Calculate the instantaneous angular velocity of the pitcher's arm at the start of the acceleration (in rad/s)
B) Calculate the instantaneous angular velocity of the pitcher's arm at release (in rad/s)
C) Assume answers in a and b are -3 rad/s and +30 rad/s, respectively. Calculate the average angular acceleration of the pitcher's arm over this interval (in rad/s^2)
D) Assume the answer in c is 120 rad/s^2 . Calculate the tangential acceleration of the ball at the instant of release (in m/s^2)
E) Calculate the centripetal acceleration of the ball at the instant of release (in m/s^2). Use the values in the original problem to solve.