An object A (VA=20 km/sec) is chasing another object B as shown in figure in a horizontal plane. The object B follows a predetermined path, i.e. (XB(t), YB(t)). Details of the exact path are not necessary. The object A changes its direction after each time interval Δt (= 5 sec) to orient itself towards the object B. The object B will be considered caught if falls within a distance of 20 km, and the pursuit will be over. If the object A is unable to catch the object B within 30minute, the pursuit will be abandoned. a. Develop a simulation model (algorithm), and b. Write down a computer programme in MatLAB (or any other programming language) for simulation of the problem. The programming can be made using the path (XB(t), YB(t)).