An airplane maintaining a constant altitude of 3 km flies due east at 400 km/h

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

An airplane maintaining a constant altitude of 3 km flies due east at 400 km/h. At the moment it passes directly above a car travelling due north at 80 km/h on level ground, both are vertically aligned over the same point on the ground. Compute the rate (in km/h) at which the distance between the airplane and the car is changing exactly 1 minute after this instant.

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