A supersonic aircraft flies at an altitude of 1.8 km where temperature is 4°C. Determine the speed of the aircraft if its sound is heard 4 seconds after its passage over the head of an observer. Take R = 287 J/kg K and γ = 1.4.

Solution:

Altitude of the aircraft, $ = 1.8 km = 1800 m $

Temperature, $ T = 4 + 273 = 277 K $

Time, $ t = 4 s $

Speed of the aircraft V :

Refer Let, O represent the observer and A the position of the aircraft …