please code using Matlab and using the ode45 function.

Effect of Drag and Lift on Projectile Flight A projectile is launched with vo-10 m/s at -45. Case 1) No Lift, No Drag a) Show that neglecting lift and drag, -45 gives the 45 maximum range. b) What is the maximum range xR as a function of vo Case 2) With Lift, With Drag Consider a model in which the drag and lift forces Fo and FL are given by: c) Draw a free-body diagram of the projectile and show that the equations of motion are: Where D and L - (M is the mass of the projectile) Show all steps in your derivation. Analyze the following cases by solving the equations of motion numerically using MATLAB subject to the initial conditions: Yo-0,Yo-vo sin ,-7.07 d) First consider L 0. Find the range xR for D 0.01,0.05, and 0.1. Give a sketch of xR vs D. What is the % difference between D 0 and D 0.1 cases? What value of D causes a 15% difference from the ideal range found in Casel part b. Now consider D-001. Find XR for L = 0.1, 0.15, and 0.2. Sketch XR vs. L. Does the trend make physical sense? what is the % difference between the L-0.2 case and the ideal xR? e)