An aircraft traveling at 600km/h accelerates speedly at 10km/h/s taking the speed of sound as 1100km/h at the aircraft altitude.How long will it take to reach the sound barrier?
Open in App
Solution
The aircraft has to sound barrier ,i.e. v=1100km/h=1100×5/18=2750/9 m/s u=600km/h=600×5/18=1500/9 m/s
The acceleration of the aircraft 10km/h per second a=10km/h/s=10×5/18 m/s/s= 25/9m/s^2
Using first equation of motion v=u + at 2750/9=1500/9+ 25t/9 2750=1500+25t 27500-1500/25=1250/25 = 50s hence the aircraft will cross the sound barrier in 50s.