To take off from the ground, an airplane must reach a sufficiently high speed. The velocity required for the takeoff,

Question

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. Part A A plane accelerates from rest at a constant rate of 5.00 m/s2 along a runway that is 1800 m long. Assume that the plane reaches the required takeoff velocity at the end of the runway. What is the time tTO needed to take off? Express your answer in seconds using three significant figures. SubmitHintsMy AnswersGive UpReview Part Incorrect; Try Again; 9 attempts remaining Part B This question will be shown after you complete previous question(s). Part C What is the distance dfirst traveled by the plane in the first second of its run? Express your answer numerically in meters using three significant figures. tTO = 720 s SubmitHintsMy AnswersGive UpReview Part Part D What is the distance dlast traveled by the plane in the last second before taking off?

Help In Homework · Accepted Answer

A) Using 2nd equation of motion, s = ut + 0.5 at^2 1800 = 0 + 0.5 x 5 x t^2 Time, t = 26.83 sec B) V = u + at V = 0 + 5 x 26.83 = 134.16 m/s C) Distance, s = 0 + 0.5 x 5 x 1^2 = 2.5 m D) Time, t = 26.83 - 1 = 25.83 sec Distance, s = 0 + 0.5 x 5 x 25.83^2 = 1667.8 m Final distance, d = 1800 - 1667.8 = 132.03 m E) V^2 = u^2 + 2as V^2 = 0 + 2 x 5 x 900 V = 94.9 m/s % = 94.9/134.16 = 70.7%

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To take off from the ground, an airplane must reach a sufficiently high speed

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