Boat A is 9 km due east of a pier and sailing east at 4 km/h

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

Problem

Boat A is 9 km due east of a pier and sailing east at 4 km/h. Simultaneously, Boat B is 12 km due north of the same pier and sailing north at 3 km/h. Determine the instantaneous rate of change of the distance between the two boats at that moment, indicating whether the distance is increasing or decreasing.

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