Need help solving the following Matlab problem with pen and paper first (or excel). When solving the problem, it must not be in code. My answers keep differing from my Matlab code it produces.

Help is also appreciated in the code for the difference between the max angle and pi/4 as your results.

The range of an object shot at an angle given by with respect to the x-axis and an initial velocity Vo (Figure P3.16) is Range - Q sin(20) for 0 s 0 s n/2 and neglecting air resistance. Use g 9.81 m/s2 and an initial velocity vo of 75 m/s. Range- Figure P3.16 The range depends on the launch angle and the launch velocity. Find both the maximum range and the angle of the maximum range by computing the range in increments of 1/50 between O s sTn/2. Show that the maximum range is obtained at approximately - /4. You won't be able to find the exact angle that results in the maximum range, because your calculations are at evenly spaced angles of Tt/50 radian