Respuesta :

KE = ½mv² 
1.1 x 10^9 = ½ x 8 x 10^4 v² 
v² = 2.75 x 10^4 
v ≈ 165.8 m/s

The speed of the airliner is 165.83 m/s.

Kinetic Energy

The energy stored within an object during its motion is called the kinetic energy of the object. The kinetic energy of an object can be given as below.

[tex]KE = \dfrac {1}{2} mv^2[/tex]

Where KE is the kinetic energy, m is the mass and v is the velocity of the object.

Given that the mass of the airliner is 8.0 × 10^4 kg and its kinetic energy is  1.1 × 10^9 J. Hence the speed of the airliner can be calculated as given below.

[tex]1.1\times 10^9 = \dfrac{1}{2} \times 8.0\times 10^4\times v^2[/tex]

[tex]v^2 = 27500[/tex]

[tex]v = 165.83 \;\rm m/s[/tex]

Hence we can conclude that the speed of the airliner is 165.83 m/s.

To know more about kinetic energy, follow the link given below.

https://brainly.com/question/999862.