Modern bowling alleys have automatic ball returns. The ball is lifted to a height of 2.00 m at the end of the alley and, starting from rest, rolls down a ramp. It continues to roll horizontally and eventually rolls up a ramp at the other end that is 0.500 m off the ground. Assuming the mass of the bowling ball is 7.00 kg and its radius is 16.0 cm, determine
(a) The rotation rate of the ball during the middle horizontal travel,
(b) Its linear speed during the middle horizontal travel, and
(c) The final rotation rate and linear speed.