Information for Problems $4$ through $13$:$$

Consider an airplane patterned after the Fairchild Republic A$-10,$ a twin$-$jet attack aircraft.

The airplane has the following characteristics: wing area $=47$ m$^2,$ aspect ratio $=6\mathrm{.}5,$ Oswald efficiency factor $=0\mathrm{.}87,$ maximum weight $=103,047$ N$,$ a maximum fuel weight of $48,930$ N$,$ and a zero$-$lift drag coefficient of $0\mathrm{.}032.$

The airplane is equipped with two jet engines with $40\mathrm{.}298$ kN of static thrust at sea level per engine.

NOTE: The gravitational acceleration should be taken as $9\mathrm{.}81$ m$/$s$^2.$:

If the current aircraft weight is $80,365$ N$,$ assume max R$/$C varies linearly with altitude $($not precise, but not a bad assumption$)$ and use the sea level max R$/$C and the max R$/$C at $13,500$ m to estimate the absolute ceiling of aircraft.

Express your answer in km up to $3$ decimal places.

If the weight of the aircraft at takeoff is $56,578$ N and the aircraft is taking off from an airport where the density is $1\mathrm{.}217,$ estimate the liftoff distance.

Assume a paved dry runway with rolling coefficient $0\mathrm{.}04.$Also$,$ during the ground roll, the angle of attack is restricted by the requirement that the tail not drag the ground. $$Hence$,$ assume that CL$,$max during the ground roll is limited to $0\mathrm{.}8.$When the airplane is on the ground, the wings are $5$ ft above the ground.

Express your answer in meters up to $3$ decimal places.

Please input the lift$-$off velocity in m$/$s to $3$ decimal places.

Please input the average velocity in m$/$s to $3$ decimal places.

Please input the average dynamic pressure in Pa to $3$ decimal places.

Please input the average lift in N to $3$ decimal places.

Please input the average drag in N to $3$ decimal places.