Consider the ground run of an executive jet aircraft while landing at an altitude of 3,000 ft. Assume the aircraft weight is a constant 65,000 lbs. Assume the aircraft is operating at zero throttle with a constant angle of attack of 8 degrees and a constant bank angle of 0 degrees. The coefficient of friction between the aircraft tires and the runway, taking into account steady braking, is 0.18.
(a) Give differential equations that describe the ground roll dynamics based on the above assumptions. Include all parameter values and the constant input functions in describing your differential equations. Assume the aircraft airspeed at touchdown is 185 ft/s.
(b) Develop a flight simulation of this landing maneuver from touchdown until the aircraft comes to rest. Develop a time response plot for the the airspeed. What is the distance traveled by the aircraft from touchdown to rest?