Answer:
The speed of the airplane after it has travelled 800 meters is approximately 85.632 meters per second.
Explanation:
From statement, we obtain the equation of equilibrium associated with the airplane:
(1)
Where:
- Thrust force from engines, measured in newtons.
- Force of air resistance, measured in newtons.
- Mass of the airplane, measured in kilograms.
- Net acceleration of the airplane, measured in meters per square second.
If we know that , and , then the net acceleration of the airplane is:
Lastly, the final speed of the airplane is calculated by the following kinematic equation:
(2)
Where:
- Travelled distance, measured in meters.
, - Initial and final speeds of the aircraft, measured in meters per second.
If we know that , and , then the final speed of the aircraft is:
The speed of the airplane after it has travelled 800 meters is approximately 85.632 meters per second.