SOLUTION: A plane requires a speed of 100km/h at takeoff to be airborne. If it can be accelerated at the rate of 8000 km/h^2, what should be the minimum length of runway if the plane start

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Question 1182717: A plane requires a speed of 100km/h at takeoff to be airborne. If it can be
accelerated at the rate of 8000 km/h^2, what should be the minimum length of runway if the plane starts with zero velocity at one end of the runway?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

We find the time from this equation


    v = at,


where v is the given speed at the end of the runway;  a is the given acceleration.


So the time for takeout is


    t = v%2Fa = 100%2F8000 = 1%2F80 = 0.0125  hours.     ANSWER



The minimum length of the runway should be


    d = %28at%5E2%29%2F2 = %288000%2A0.0125%5E2%29%2F2 = 0.625 kilometers = 625 meters.    ANSWER

Solved: all questions are answered.


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I used the standard formulas of Physics (kinematic), which every student must know, when he or she start learning the subject.