A -tall student walks away from the base of a lamppost at a constant rate of along a…

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

Problem

2\,\text{m}

-tall student walks away from the base of a

6\,\text{m}

lamppost at a constant rate of

1.5\,\text{m/s}

along a flat path. When the student is

10\,\text{m}

from the lamp, what is the speed (in m/s) of the tip of the student’s shadow along the ground? (a)

4.50

(b)

2.25

(c)

1.50

(d)

0.75