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 × 10 ^–6 /°C. Determine the increase of the 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.)