Question

an aircraft travelling at 600 km per hour accelerates steadily at 10 km per hour per second tracking the speed of sound as 1100 km per hour at the air crafts altitude how long will it take to reach the sound barrier

Answer 1

to reach sound barier
s=ut+1/2atsquare
so from question 600t+1/2*10tsquare=1100t
600t+5tsquare=1100t
5tsquare-500t=0
5t(t-100)=0
t=100, t=0
but time =0 can't be possible so time =100seconds answer

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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