A 90 kg pilot ejects from a plane and reaches a steady state velocity of 30 m/s with one parachute open. Neglect any air drag force on the pilot and assume that the air drag force can be modeled as an ideal damper i.e. linearly proportional to the velocity.
A) Find the damping coefficient
An identical second parachute opens after the pilot has already reached the steady state.
B) if the 2nd parachute opens at t=0, determine the ODE describing the pilot's velocity including initial conditions.
C) Obtain the differential equation describing the force acting on the pilot.