Math 124, Winter 2018 Final Examination Page 9 of 9 8. (12 total points) A dog is running around a circular track of radius 14 meters at a constant speed of 9 meters per second. His owner is standing at a distance 48 meters from the center of the track. (a) (3 points) How fast is the angle o changing? (b) (9 points) How fast is the distance between the dog and his owner changing when the dog is at the northernmost point of the track