Ok so im a student and we've started doing matlab, unforunately I was ill for the last session so im currently doing it at home myself. The question is unassessed (we are given a few questions then a final assessed question with each session), so if any solutions could have a brief explanation of where they've come from so I understand whats going on. The first question of the session (our 3rd session 'solving ode's with MATLAB') is as follows: Using the following given function (projectile.m): function dydt=projectile(t,y) g=9.8; dydt=zeros(2,1); %a column vector dydt(1)=y(2); dydt(2)=-g; end and the following commands: >> [T,Y]=ode45(@projectile,[0 12],[0 10]); >> plot(T,Y(:,1),'-',T,Y(:,2),'-.') a) Modify the function so that you now solve differential equations for a projectile that is launched at an angle to the horizontal of 60 degrees with an initial velocity of 100m/s at x=0m and y=0m. Set the calculation span of 20 seconds with increments of 0.1 seconds. My attempt: [T,Y]=ode45(@projectile,[0:0.1:20],[0 100]); I know that this will change the velocity and the time span, but how I do I change the angle, and make sure its at x=0? b) Include the call to the ODE solver function in a seperate m-file script as well as the commands to plot the trajectory of the projectile i.e. y vs x. Use the script to prompt you to input the initial conditions including velocity, angle and intial x an y positions as well as the time interval over which you find the solutions. My attempt: As ive not done the first part ive not really started this, im not sure what the first part is asking but im guessing for the inputs I just do something along the lines of: t_initial=input('Time Start = ') t_increment=input('Time Increment = ') t_final=input('Time Finish = ') y0=input('Initial y = ') v=input('Velocity = ') [T,Y]=ode45(@projectile,[t_initial:t_increment:t_final],[y0 v]); Then add the part for angle and initial x when I know what they are. c) To check your solution, overlay a plot of the x and y positions calculated from the analytical solutions to these equations. Not sure on this one Matlab is all pretty new to me so im having a bit of trouble just understanding what some of the questions are asking.