A Problem for MATLAB's Symbolic Computation 1.1 2006/10/25 13:43:52.134 GMT-5 2006/10/31 09:53:27.124 US/Central Darryl Morrell morrell@asu.edu Darryl Morrell morrell@asu.edu MATLAB Symbolic Computation This module contains a problem that can be solved using MATLAB's symbolic computation capabilities. Consider the following problem. Vehicle 1 and Vehicle 2 each move in a straight line. At time t 0 , Vehicle 1 starts from position 0 with initial velocity 0 and constant acceleration a. At the same time, Vehicle 2 starts from position s 0 and travels with constant velocity v. The position of Vehicle 1 is given by the equation s 1 2 a t 2 The position of Vehicle 2 is given by the equation s v t s 0 For given values of a , v , and s 0 , at what time t will Vehicle 1 to overtake Vehicle 2? At what position will this happen? Plot your solution for t as a function of a with v 80 ft/s and s 0 4000 ft . For given values of v and s 0 , what value of a would cause Vehicle 1 to overtake Vehicle 2 at a given time t ? Plot your solution for a as a function of t with v 80 ft/s and s 0 4000 ft .