need help part e

Critical damping is the case where the mass never actually crosses over equilibrium position, but reaches equilibrium as fast as possible.  Experiment with changing c to find the critical damping constant.  Use the same initial conditions as in the last problem.  Zoom in a bit to make sure you don't allow any oscillations to take place - even small ones.

NASA's KC-135 Reduced Gravity Research aircraft, affectionately known as the "Vomit Comet," is used in training astronauts and testing equipment for microgravity environments. During a typical mission, the aircraft makes approximately 30 to 40 parabolic arcs. During each arc, the aircraft and objects inside it are in free-fall, and passengers float freely in apparent "weightlessness." The figure below shows the altitude of the aircraft during a typical mission. It climbs from 24,000 ft to 30,850 ft, where it begins a parabolic arc with a velocity of 155 m/s at 45.0° nose-high and exits with velocity 155 m/s at 45.0° nose-low. 31 000 45° nose high 45° nose low 24 000 Zero g 65 Maneuver time (s) (a) What is the aircraft's speed (in m/s) at the top of the parabolic arc? 110.0 m/s (b) What is the aircraft's altitude (in ft) at the top of the parabolic arc? 2.04e+04 What is the initial height at the start of the parabolic arc? What is the initial velocity at this point? What is the final…