Suppose a police officer is 1/2 mile south of an intersection, driving north towards the intersection at 50 mph. At the same time, another car is 1/2 mile east of the intersection driving east, away from the intersection.
  1. Suppose the officer’s radar gun indicates 25 mph when pointed at the other car (that is, the straight-line distance between the officer and the other car is increasing at a rate of 25 mph). What is the speed of the other car? mph.
  2. Now suppose that the officer’s radar gun indicates -25 mph instead (that is, the straight-line distance is decreasing at a rate of 25 mph). What is the speed of the other car this time? mph.

You can earn partial credit on this problem.