Question

An aircraft travel at 600km/hr accelerate steadily at 10km/hr per second.Taking the speed of sound as 1100km/hr at the aircraft's altitude, how long will it take to reach the sound's barrier?

Answer 1

First of all we should convert km into m so (1)=600×5/18 and we get 1500/9 m

(2)=1100×5/18 and we get 2750/9 m

(3)=10×5/18 and we get 25/9 m/s

By the FIRSTequation of Motion =v=u+at

put values. 2750/9=1500/9+25/9t

cancel the denominator

rearrange. 25t=2750-1500

25t=1250

t=1250/25

t=50s

SO THE TIME TAKEN IS 50 SECONDS

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