The taxiway used by an air-craft to exit a runway should not have sharp curves. The safe

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The taxiway used by an air-craft to exit a runway should not have sharp curves. The safe radius for any curve depends on the speed of the airplane. The table lists the minimum radius R of the exit curves, where the taxiing speed of the airplane is x miles per hour.image



(a) If the taxiing speed x of the plane doubles, what happens to the minimum radius R of the curve? 


(b) The FAA used R(x) = ax2 to compute the values in the table. Determine a. 


(c) If R = 500, find x. Interpret your results.

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