Use Matlab, please.

a) Create a working copy of the Euler function using MATLAB or Python MATLAB. DELIVERABLES: A copy of the function in your pdf plus the file containg the function. b) Use Euler to solve the differential equation using m = 73.5 kg, c = 13.1 kg/s and initial conditions v(0) = 0 on the time interval (0, 16] using 80 time steps and for a free-falling body on Mars where the gravitational constant is g = 3.71. DELIVERABLES: Your answer should include the function call to Euler and the resulting output. c) Using the same parameters from Q1(b) calculate the corresponding velocities using the analytic solution. That is, create a function for the formula, v(t) (1 - - ) (1) gm = C . : and run it for t = [t0 : h : tn]. DELIVERABLES: Your answer should include the function call, the function file and the resulting output. 3 d) What is the terminal velocity of this free-falling body of mass 73.5 kg? (You may approximate this roughly with experimental results from your function or solve it analytically.) DELIVERABLES: Any work, program or hand-written, done to determine the termi- nal velocity