P1. Rather than the linear relationship for upward resistance force (Fu) in slide 34 of PowerPoint, you might choose to model the upward force on the parachutist as a second-order relationship, F = c'v Where c' is a bulk second order drag coefficient (kg/m). (a) using calculus, obtain the closed-form solution for the case where the jumper is initially at rest (v = 0 at t = 0). (b) consider the example discussed in class where a parachutist of mass 68.1 kg jumps out of a stationary hot air balloon. Compute the velocity of the parachutist using Euler' method for the case where c' = 0.22 kg/m. Employ a step size of 2 s for the calculation.