Two clowns, Twinkle and Jingle, are throwing pies at each other. Twinkle throws a pie toward Jingle from centimeters away. Its flight path is given by parametric equations where is time in seconds.
Two seconds later Jingle launches an interceptor pie from his location with the flight path Find the value of which will guarantee that the interceptor pie will hit its target (the pie thrown by Twinkle).