A ball is thrown into a lake creating a circular ripple whos

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) =

Solution

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