Problem $1$: $(30$ pts$)$ Consider an airplane of twin engine with the following characteristics: wing area $=47m^2,$ aspect ratio $=6\mathrm{.}5,$ span efficiency factor $=0\mathrm{.}87,$ weight $=103,000N,$ parasite drag coefficient $=0\mathrm{.}032,$ and each jet engine has $20,000N$ thrusts at sea level:

a$)(10$ pts$)$ Calculate and plot the Thrust$-$required curve at sea level,

b$)(10$ pts$)$ Determine the maximum velocity at sea level.

c$)(10$ pts$)$ When the airplane is flying at $100\frac{m}{s},$ determine the maximum rate of climb at sea level.