SOLUTION: The pilot of a jet transport brings the engines to full takeoff before releasing the brakes as the aircraft is standing on the runway. The jet thrust remains constant, and the airc

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Question 1197005: The pilot of a jet transport brings the engines to full takeoff before releasing the brakes as the aircraft is standing on the runway. The jet thrust remains constant, and the aircraft has a near-constant acceleration of 0.4g. If the takeoff speed is 200 kph, calculate the distance s and time t from rest to takeoff.

Answer by ikleyn(52778) About Me  (Show Source):
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The pilot of a jet transport brings the engines to full takeoff before releasing the brakes
as the aircraft is standing on the runway. The jet thrust remains constant, and the aircraft has
a near-constant acceleration of 0.4g. If the takeoff speed is 200 kph,
calculate the distance s and time t from rest to takeoff.
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The acceleration of 0.4g has the value a = 0.4*10 = 4 m/s^2 = 0.004 km/s^2.


The takeoff speed of 200 kph is  v = 200%2F3600 m/s = 1%2F18 m/s = 0.056 km/s.


Time t to get the takeoff speed of v = 200 kph is

    t = v%2Fa = 0.056%2F0.004 = 56%2F4 = 19 seconds.    ANSWER


To find the distance, use the formula for rectilinear uniformly accelerated movement

    s = %28at%5E2%29%2F2 = %284%2A19%5E2%29%2F2 = 722 meters.    ANSWER

Solved.

The problem teaches you to use the values in consistent units, and to convert units to form, which is required by the formulas.