Calculating Takeoff Time for an Aircraft

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To calculate the time it takes for an aircraft to become airborne after a takeoff run of 320 meters, one must consider that the aircraft accelerates from rest to its lift-off speed of 40 m/s. Since the speed is not constant during the takeoff run, the average speed must be used, which is half of the lift-off speed, or 20 m/s. Dividing the distance of 320 meters by the average speed of 20 m/s results in a time of 16 seconds. Understanding the concept of average speed is crucial in this calculation. Therefore, the correct approach involves recognizing the acceleration phase of the aircraft.
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Homework Statement


An aircraft has a lift-off speed of 40m/s. How long does it take the aircraft to be airborn after a takeoff run of 320m?


Homework Equations


I know that I have to divide 320m by the speed (40m/s). But if I do that, I get a wrong result. The result should be 16s and this is only true if I use half of the speed (20m/s). Can somebody explain me why I have to take half of the speed? Thanks
 
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At the beginning plane was not moving, then it started to accelerate. Its speed was not constant.
 
Miri said:
Can somebody explain me why I have to take half of the speed?
As Borek said, the speed is not constant. Hint: What's the average speed during takeoff?
 
Oh yes..average speed =40/2...thx
 
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