Car P is traveling east at 40 mi/h on a straight road
MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
Car P is traveling east at 40 mi/h on a straight road, while car Q is simultaneously traveling north at 30 mi/h on a road that meets the first at right angles. At a certain instant car P is 3 mi west of the intersection and car Q is 4 mi south of the intersection. At that instant, what is the rate at which the distance between the two cars is changing?
(a) 48 mi/h
(b) −24 mi/h
(c) −48 mi/h
(d) 50 mi/h