Tracking targets with radar is an important step in ensuring safety in such endeavors as air travel or military operations. To account for inherent inaccuracies in raw radar measurements of position, and to obtain accurate velocity data, we implemented an algorithm called the Kalman Filter. The resulting track data was used, in conjunction with algebraic and trigonometric methods, to simulate target interception and collision prevention. Our system led an interceptor aircraft to its target and warned pilots of a potential collision, proving the effectiveness of our filter.