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 (in cm ) of this circle as a function of time t (in seconds). r(t) = cm (b) If A is the area of this circle as a function of the radius, find A∘r. (A∘r)(t) = Interpret your answer. This formula gives the extent of the rippled area (in cm2) at any time t. This formula gives the circumference of the rippled area (in cm ) at any time t. This formula gives the radius of the rippled area (in cm) at any time t.

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 (in cm ) of this circle as a function of time t (in seconds). r(t) = cm (b) If A is the area of this circle as a function of the radius, find A∘r. (A∘r)(t) = Interpret your answer. This formula gives the extent of the rippled area (in cm2) at any time t. This formula gives the circumference of the rippled area (in cm ) at any time t. This formula gives the radius of the rippled area (in cm) at any time t.

Image text
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 50 c m / s . (a) Express the radius r (in c m ) of this circle as a function of time t (in seconds).
r ( t ) =
c m (b) If A is the area of this circle as a function of the radius, find A r .
( A r ) ( t ) =
Interpret your answer. This formula gives the extent of the rippled area (in c m 2 ) at any time t . This formula gives the circumference of the rippled area (in c m ) at any time t . This formula gives the radius of the rippled area (in c m ) at any time t .

Detailed Answer