What Is the Time Needed to Take Off?

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SUMMARY

The time needed for an airplane to take off from a runway of 1800 meters, given a constant acceleration of 5.00 m/s², can be calculated using kinematic equations. The required takeoff velocity is reached at the end of the runway. By applying the formula for uniformly accelerated motion, the time to take off can be determined definitively.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of linear acceleration concepts
  • Familiarity with basic algebra for solving equations
  • Concept of velocity and its relation to distance and time
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  • Study the kinematic equation: \( v = u + at \)
  • Learn how to derive time from distance and acceleration
  • Explore real-world applications of acceleration in aviation
  • Investigate factors affecting takeoff velocity, such as weight and wind resistance
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Homework Statement



To take off from the ground, an airplane must reach a sufficiently high speed. The velocity required for the takeoff, the takeoff velocity, depends on several factors, including the weight of the aircraft and the wind velocity.

A plane accelerates from rest at a constant rate of 5.00 m/s^{2} along a runway that is 1800m long. Assume that the plane reaches the required takeoff velocity at the end of the runway.


Homework Equations



What is the time needed to take off?
 
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Hi there,

The solution to this one seems simple. You have a plane in a linear accelerated motion. Just apply the equations and the solution should pop by itself.

Cheers
 
Yep got it thanks!
 

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