Question

An aircraft travelling at 600lm per hour accelerates steadily at 10 km per hour per second .Taking the speed of sound as 1100km per hour at the aircrafts altitude, how long will it take to reach the sound barrier

Answer 1

Initial velocity = 600km/h
Final velocity = 1100km/h
Acceleration = 10km/h per second
Let time be t

As we know,
a=(v-u)/t
10 = (1100-600)/t
10t = 500
t= 50s
So, the time taken to reach the sound barrier is 50 s

Answer 2

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speed of sound = 1100 km/hr

v = u + a t

t = (v - u) / a = (1100 - 600 ) / 10 = 50 s

I hope, this will help you

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