Dawson Logan
05/11/2023 · Junior High School

16. 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 s , (b) 3 s , and (c) 5 s . What can you conclude?

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The rate at which the area within the circle is increasing after 1 s is approximately \( 22,619.47 \, \text{cm}^2/\text{s} \), after 3 s is approximately \( 67,858.40 \, \text{cm}^2/\text{s} \), and after 5 s is approximately \( 113,097.34 \, \text{cm}^2/\text{s} \). The rate of increase in area increases as time passes.

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