A ball is thrown into a lake, creating a circular ripple whose radius travels ou

Question

A ball is thrown into a lake, creating a circular ripple whose radius travels outward at a speed of 8 centimeters per second. Complete the following l table. Define a formula that gives the radius of the ripple, r, in centimeters, in terms of the varying number of seconds that have elapsed since the ball hit the water, t. Define a function f that determines the area of the ripple, A, in square centimeters, in terms of the varying number of seconds that have elapsed since the ball hit the water, t f(t) =

Explanation / Answer

b) radius after t sec ,r =8t

c) area of ripple f(r)=r2

we have r =8t

so f(t)=(8t)2

f(t)= 64t2

f(t)=64 t2

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