Problem 14E

14. A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of $60 \mathrm{~cm} / \mathrm{s}$. Find the rate at which the area within the circle is increasing after (a) $1 \mathrm{~s}$,

(b) $3 \mathrm{~s}$, and (c) $5 \mathrm{~s}$. What can you conclude?

 

Step-by-Step Solution