Projectile motion: linear versus non-linear model, coordinate systems, ode45, MATLAB, inteerp
During the experiment, mass m=1 kg was released at point 'A' and travelled distance AB=Z before it hit the inclined flat surface. After the perfect impact (with no energy loss) with the incline at point 'B', mass 'm' bounced and continued its flight until it hit the incline again at point 'C'. Assume AIR RESISTANCE with air resistance force is proportional to the product of the squared velocity of the mass and coefficient Cd=0.1 (i.e. F=Cd*v²) and the following parameters of the experiment: inclination angle alpha=30 deg; Z=3 m. DETERMINE: the distance 'BC' (in m), formulating and solving numerically the associated differential equations of motion for the mass 'm'.