What Must Be the Length of the New Runway?

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SUMMARY

The length of the new runway must be quadrupled to accommodate the doubled takeoff speed while maintaining the same acceleration. This conclusion arises from the physics principle that distance is proportional to the square of the speed when acceleration is constant. Specifically, if the initial runway length is L, the new required length is 4L to achieve the necessary takeoff conditions for the newly designed planes.

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  • Understanding of kinematics, particularly the equations of motion.
  • Familiarity with the concepts of acceleration and velocity.
  • Basic knowledge of physics principles related to distance and time.
  • Ability to manipulate algebraic equations to solve for unknowns.
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Aerospace engineers, physics students, airport planners, and anyone involved in aviation safety and design will benefit from this discussion.

KEVIN Phlem
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Homework Statement


A certain airport runway of length L allows planes to accelerate
uniformly from rest to takeoff speed using the full length of
the runway. Because of newly designed planes, the takeoff
speed must be doubled, again using the full length of the runway
and having the same acceleration as before. In terms of L,
what must be the length of the new runway?

Homework Equations



Not sure how to evens start.

The Attempt at a Solution


in my head i said that the runway would double buy i was wrong.
 
Physics news on Phys.org
If you need double the speed and you have the same acceleration, by what factor must you increase the time interval? That's an easier problem. Can you find a relevant equation?

Using that answer, what can you conclude about the distance required?
 

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