an aircraft travellung at 600km/hr acclerates at 10km/hr per second taking speed of sound barrier 1100 km/hr how long will it take to reach sound barrier
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Aircraft has to reach sound barrier
it means it's final velocity (v) is = 1100 km/h
=>1100*5/18=2750/9 m/s
Initial velocity (u)=600 km/h
=>600*5/18=1500/9 m/s
Acceleration is 10 km/hr per second
(a)=>10*5/18=25/9
Now, Use Newton's 1st equation of motion.
v=u+at
2750/9=1500/9+25/9*t
2750/9=1500+25/9*t
2750=1500+25t
25t=2750-1500
t=1250/25
t=50s
Aircraft has to reach sound barrier
it means it's final velocity (v) is = 1100 km/h
=>1100*5/18=2750/9 m/s
Initial velocity (u)=600 km/h
=>600*5/18=1500/9 m/s
Acceleration is 10 km/hr per second
(a)=>10*5/18=25/9
Now, Use Newton's 1st equation of motion.
v=u+at
2750/9=1500/9+25/9*t
2750/9=1500+25/9*t
2750=1500+25t
25t=2750-1500
t=1250/25
t=50s
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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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