A merry-go-round is stationary. A dog is running on the ground just outside its circumference, moving with a constant angular speed of0.695rad/s. The dog does not change his pace when he sees a bone resting on the edge of the merry-go-round one-third of a revolution in front of him. At the instant the dog sees the bone, the merry-go-round begins to move in the direction the dog is running, with a constant angular acceleration of0.0150rad/s2.

(a) After what time will the dog reach the bone?

s

(b) The confused dog keeps running and passes the bone. How long after the merry-go-round starts to turn do the dog and the bone draw even with each other for the second time?

s