A small rocket having an initial weight of 3,000 lb and initially at rest, is launched vertically. The rocket burns fuel at constant rate. The equation of motion for the rocket is given by a second-order ODE, wd²y g di² =T-w-D₂ where y is distance in ft; w(t)=3000-80t is the instantaneous weight of the rocket in lb; g = 32.2 is the gravitational acceleration in ft/s²; T = 8000 is the thrust in lb. D=0.005g| in lb. The initial conditions are: t=0: y(0) = 0, y(0) = 0. dt is the drag (2) Use the first-order explicit Euler method (Textbook section 10.8.1) to compute the distance y(t), the velocity y(t) from t=0 to t=8s using 3 different step sizes: 0.85;0.5s;0.1s respectively; and plot y(t) and y(t) on two separate figures, with each figure showing the computational results for the 3 step sizes; Only computer generated plots are acceptable. For the case of step size 0.15: What is y(3) ? Submit your MATLAB code for this part (2), including the part for plotting.