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

ID: 2043296 • Letter: T

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.

A) A plane accelerates from rest at a constant rate of 5.00 m/s^2 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 t_{TO} needed to take off?
Express your answer in seconds using three significant figures.

C) What is the distance d_first traveled by the plane in the first second of its run?
Express your answer numerically in meters.

D) What is the distance d_last traveled by the plane in the last second before taking off?
Express your answer numerically in meters.

Explanation / Answer

S=0.5*a*t2

t= 26.832 sec

S1= 5/2= 2.5 meter

Sn-1= 0.5*5(26.832-25.832)=131.666 meter

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