Boat A passes a buoy and heads due east at a constant speed of 10 km/h

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

Problem

Boat A passes a buoy and heads due east at a constant speed of 10 km/h. At that same moment, Boat B is 30 km south of the buoy and is traveling due north at 20 km/h. Determine, to the nearest tenth of an hour, the time after Boat A passes the buoy when the distance between the two boats is smallest.

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