A 4-meter-tall delivery robot rolls away from the base of a 12-meter-tall streetlight

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A 4-meter-tall delivery robot rolls away from the base of a 12-meter-tall streetlight. At a certain instant the tip of the robot’s shadow is moving away from the streetlight at 3 m/s. At that same instant, what is the robot’s speed (in m/s)? (a) 3.03.0 (b) 2.42.4 (c) 2.02.0 (d) 2.252.25

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