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’?
Initial velocity, u = 600 km/h
Final velocity, v = 1100 km/h
Acceleration = 10 km/h/s = 600 \mathrm{km/h^2 }
From formula,
a = (v-u)/t
t = (v-u)/a
t = 50 sec
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