2. (30 points). A fighter jet is traveling with a velocity u = (398 m/s) i +

(4.00 m/s) Ĵ+ (51.0 m/s) k relative to the earth. It fires a missile that

moves at a velocity of v = (107 m/s) Î + (-10.0 m/s) ĵ + (2.00 m/s) k

relative to the fighter jet. If the altitude of the fighter jet is 9000 m:

(a) Find the Mach number of the missile an instance after it is fired.

(b) Do we have to worry about compressibility effects when analyzing

the missile's flight?