Discussion
A vehicle flies at Mach 7 where the speed of sound is \( 300 \ \mathrm{m/s} \). Its true airspeed is
Answer: B
Correct answer: 2100 m/s
Mach number is the ratio of true airspeed to the local speed of sound, so
\[ V = M a = 7 \times 300 = 2100 \text{ m/s} \]The speed of sound depends only on temperature, and at high altitude it is well below the sea level figure of about 340 m/s, so a given Mach number corresponds to a lower true airspeed there. Dividing rather than multiplying gives 42.9 m/s, which would be a walking pace.
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