A 1.8 m tall runner moves directly away from a 4.5 m streetlamp at

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

Problem

A 1.8 m tall runner moves directly away from a 4.5 m streetlamp at 1.4 m/s1.4\text{ m/s}. What is the speed of the tip of the runner’s shadow (to the nearest hundredth of a meter per second) at that instant? (a) 1.40 m/s1.40\text{ m/s} (b) 2.33 m/s2.33\text{ m/s} (c) 3.50 m/s3.50\text{ m/s} (d) 0.93 m/s0.93\text{ m/s}

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