A solid, frictionless cylinder reel of mass M = 3.13 kg and radius R = 0.358 m is used to draw water from a well. A bucket of mass m = 1.92 kg is attached to a cord that is wrapped around the cylinder. (Indicate the direction with the sign of your answer.)

(a) Find the tension T in the cord and acceleration a of the bucket.

(b) If the bucket starts from rest at the top of the well and falls for 3.22 s before hitting the water, how far does it fall?