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22/10/2021 6:36 pm
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An aircraft travelling at 600 km/h accelerates steadily at 10 km/h per second. Taking the speed of sound as 1100 km/h at the aircraft’s altitude, how long will it take to reach the ‘sound barrier’?
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22/10/2021 6:39 pm
Initial velocity, u = 600 km/h
Final velocity, v = 1100 km/h
Acceleration = 10 km/h/s = 600 km/h2
From relation, a = \(\frac{(v - u)}{t}\)
t = \(\frac{(v - u)}{a}\)
t = \(\frac{(1100 - 600)}{600}\)
= \(\frac{500}{600}\) = \(\frac{5}{6}\) hr
= 50 sec