PLEASE SOLVE IN MATLAB CODE M-FILE. CANNOT USE MATLAB'S DIRECT COMMANDS TO SOLVE THE PROBLEMS

8.37 Aerospace engineers sometimes compute the trajectories of pro- jectiles like rockets. A related problem deals with the trajectory of a thrown ball. The trajectory of a ball is defined by the (x,y) coordinates, as displayed in Fig. P8.37. The trajectory can be modeled as yo 2v, cos, 0 Find the appropriate initial angle 0, if the initial velocity uo = 20 m/s and the distance to the catcher x is 40 m. Note that the ball leaves the thrower's hand at an elevation of yo 1.8 m and the catcher receives it at 1 m. Express the final result in degrees. Use a value of 9.81 m/s for g and employ the graphical method to develop your initial guesses. FIGURE P8.37 0 0