Q6: A high-performance jet aircraft cruises at three times the speed of sound at an altitude of 25 000 m. It has a long, slender titanium body reinforced by titanium ribs. The length of the aircraft is 30 m and the coefficient of thermal expansion of the titanium is 10 x10-6/°C. Determine the increase of overall length of the aircraft at cruise altitude over its length on the ground if the temperature while cruising is 500°C above ground temperature. (Note: This change of length is of importance since the designer must account for it because it changes the performance characteristics of the system.)