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Finding the required acceleration for airplane takeoff

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To take off from the ground, an airplane must reach a sufficiently high speed. The velocity required for the take-off, the take-off velocity, depends on several factors including the weight of the aircraft and the wind velocity. A plane accelerates at rest at a constant rate of 5 m/s2 on a runway that is 1800m long. The time needed for take off is 26.8 s. The speed of the plane as it takes off is 134 m/s. The distance travelled by the plane in the first second of its run is 2.50m. The distance travelled by the plane in the last second before take-off is 132m.

By using the data in the first 4 parts of the attached file:

PART E: What is the percentage of the take-off velocity did the plane gain when it reached the midpoint of the runway? (Express your answer numerically, to the nearest percent.)

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Solution Summary

This solution shows how to calculate the acceleration that an airplane must reach in order to be able to take off, taking into account factors such as airplane weight, distance of the runway, time needed for takeoff, etc.