Develop a numerical scheme to solve for the velocity and position of your chosen projectile as a function of time. Your algorithm should use both kinetic and kinematic equations to determine the speed and location of the projectile. a$.$ Describe your numerical scheme $($or algorithm$)$ in detail. i$.$ What is the logic behind the steps you take to solve this problem? ii$.$ How does your algorithm work? b$.$ Code your numerical solution into Python or MATLAB. i$.$ Provide thorough comments on your code explaining the function of each code segment. c$.$ Over a range of realistic values for your chosen projectile, plot the velocity v$.$ time and position v$.$ time of the projectile both with and without drag. For example, if you considered a rugby ball, examine the motion of the ball at game realistic velocities and distances