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**Please code in MATLAB while using the ODE45 function** also please comment and explain the code Effect of Drag and Lift on Projectile Flight A

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**Please code in MATLAB while using the ODE45 function** also please comment and explain the code

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 FD 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 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 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 Case 1 part b. Now consider D = 0.01. 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? d) e) 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 FD 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 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 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 Case 1 part b. Now consider D = 0.01. 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? d) e)

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