Problems

The roadrunner and the coyote start at points \(A\) and \(B\), respectively, as shown in the diagram below. The roadrunner’s goal is to reach the line \(L\), while the coyote aims to catch it before it gets there. First, the roadrunner chooses a direction and begins moving straight ahead, never changing its course. The coyote observes this direction and, immediately afterward, chooses its own direction and also moves straight ahead without turning. The roadrunner moves at twice the speed of the coyote, and once either begins moving, neither can stop. If the coyote eventually catches the roadrunner, where could they have met?