Airplane take-off Refer to Exercise When the airplane is 500 feet down the runway, it has reached a speed of 150 ft/sec (or about 102 mi/hr), which it will maintain until take-off. Express the distance d of the plane from the control tower as a function of time t (in seconds). (Hint: In the figure, first write x as a function of t.)
Airport runway The relative positions of an aircraft runway and a 20-foot-tall control tower are shown in the figure. The beginning of the runway is at a perpendicular distance of 300 feet from the base of the tower. If x denotes the distance an airplane has moved down the runway, express the distance d between the airplane and the top of the control tower as a function of x.
EXERCISE
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