A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 50 cm/s. (a) Express the radius r of this circle as a function of the time t (in seconds).   r(t) =       (b) If A is the area of this circle as a function of the radius, find A ∘ r. (A ∘ r)(t) =

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 9CR
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A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 50 cm/s.

(a) Express the radius r of this circle as a function of the time t (in seconds).
 
r(t) =
 
 
 



(b) If A is the area of this circle as a function of the radius, find Ar.

(Ar)(t) =

 
 
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