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If A is the area of this circle as a function of the radius, find A o f and interpret it.

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A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cm/s.

(a) Express the radius r of this circle as a function of the time t ( in seconds).
(b) If A is the area of this circle as a function of the radius, find A o f
and interpret it.

asked Jan 9, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

Circular ripple travels outward with a speed of 60 cm/sec.

(a)

Consider time taken by the circular ripple to travel a distance  is .

Speed-distance relation:

The distance travelled by the circular ripple is

image

Step 2:

(b)

Find image.

Area of circle is .

image

image

Area of circular ripple is image sq-cm.

Solution:

(a) The distance travelled by the circular ripple is image.

(b) Area of circular ripple is image sq-cm.

answered Jan 13, 2015 by Sammi Mentor

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