# An aircraft traveling 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’?

According to the Question,We have:-

Initial velocity, u = 600 km/h (Given)

Final velocity, v = 1100 km/h(Given)

Acceleration = 10 km/h/s

From relation, v = u+at,

On rearranging the terms, we get, v - u = at

or $t=\frac{v-u}{a}$

∴ t = 50 seconds

Hence it will take the aircraft 50 seconds to reach the "sound barrier"

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