An airplane maintains a constant altitude of 3000 ft while flying due east at 400…
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
An airplane maintains a constant altitude of 3000 ft while flying due east at 400 ft/s directly above a straight horizontal road. A car travels due east along the same road at 60 ft/s. At the instant the horizontal distance between the airplane and the car is 2000 ft, determine the rate at which the straight-line distance between them is changing. Express your answer in ft/s.