Object P is initially 30 m east of an intersection and moves east at 6 m/s

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

Problem

Object P is initially 30 m east of an intersection and moves east at 6 m/s. At the same instant, Object Q is 40 m north of the intersection and moves south at 8 m/s. Indicate whether the distance between the two objects is increasing or decreasing at that initial instant, and justify your conclusion with one brief calculation or statement.

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