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An aircraft travelling at 600 km/h accelerates steadily at 10 km/h per second. Taking the speed of sound as 1100 km/h at the aircraft’s altitude, how long will it take to reach the ‘sound barrier’ ?
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An aircraft travelling at 600 km/h accelerates steadily at 10 km/h per...
Calculating Time to Reach the Sound Barrier
To determine the time it will take for the aircraft to reach the sound barrier, we need to analyze the acceleration of the aircraft and compare it to the speed of sound.

Given Data:
- Initial speed of the aircraft = 600 km/h
- Acceleration of the aircraft = 10 km/h per second
- Speed of sound at the aircraft's altitude = 1100 km/h

Calculating the Speed of the Aircraft:
The speed of the aircraft at any given time can be calculated using the formula:
\[v = u + at\]
where:
- \(v\) = final speed
- \(u\) = initial speed
- \(a\) = acceleration
- \(t\) = time
Substitute the given values:
\[1100 = 600 + 10t\]
\[10t = 500\]
\[t = 50 seconds\]
Therefore, it will take 50 seconds for the aircraft to reach the speed of sound, also known as the 'sound barrier'.
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An aircraft travelling at 600 km/h accelerates steadily at 10 km/h per second. Taking the speed of sound as 1100 km/h at the aircraft’s altitude, how long will it take to reach the ‘sound barrier’ ?
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