## 52-53 Two cars traveling from the same point but going to different directions

**Problem 52**

A car drives south at 20 mi/hr. Another car, starting from the same point at the same time and traveling 40 mi/hr, goes east for 30 minutes then turns north. Find the rate of rotation of the line joining the cars (a) 1 hour after the start; (b) at the time the second car makes its turn.

**Problem 53**

Prove that the results in Problem 52 are independent of the speed of the cars, if the second car travels twice as fast as the first car.