1. (20 pts.) (Problem 1.5): Compute the velocity of a free-falling parachutist using Euler's method for the case where m= 80kg and c = 10kg/s. Derive the mathematical model and

perform the calculation from t = 0 to 20 s with a step size of 1 s. Use an initial condition that the parachutist has an upward velocity of 20 m/s at t = 0. At t = 10 s, assume that the chute is instantaneously deployed so that the drag coefficient jumps to 50 kg/s. (Show all steps)