Question

22. An aeroplane taking off from a runway of 500 m. Find the acceleration and take of velocity if it leaves the ground 10 sec after the start .​

Answer 1

An aeroplane taking off from a field has a run of 500 m .

What is the acceleration and take off velocity if it leaves the ground 10 seconds after the start ?

SoLuTiOn -

In the above Question , the following information is given -

The length of the runway is 500 m .

The aeroplane leaves the ground 10 seconds after the start .

So,

The speed of the aeroplane while on the ground -

=> ( 500 m / 10 s ) = 50 m/s .

Now, Let us find the acceleration of the plane .

According to the Second Equation Of Motion -

S = ut + ( 1/2 ) at^2 .

The plane is innitially at rest.

So, u = 0

=> 500 = ( 1 / 2 ) × a × 100

=> Acceleration = 10 m/s .

Now according to the First Equation Of Motion -

v = u + at

=> v = 0 + 100

=> v = 100 m/s.

So, the required velocity of the plane when it just leaves the ground is 100 m/s .