Question

An aircraft travelling at 600km/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'?

Answer 1

Question:-

• An aircraft travelling at 600km/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'?

To Find:-

• Find the time taken to reach the sound barrier.

Solution:-

Given ,

• initial velocity ( u ) = 600 km/h

• final velocity ( v ) = 1100 km/h

• acceleration ( a ) = 600 km/h²

Now ,

We have to find the time taken to reach the sound barrier:-

$\dashrightarrow\sf \: v = u + at$

$\dashrightarrow\sf \: 1100 = 600 + 600t$

$\dashrightarrow\sf \: 600t = 1100 - 600$

$\dashrightarrow\sf \: 600t = 500$

$\dashrightarrow\sf \: t = \cancel\dfrac { 500 } { 600 }$

$\dashrightarrow\sf \: t = \dfrac { 5 } { 6 }$

Hence ,

• The taken is 5/6 hours.