Chapter 2.1, Problem 64E

Velocity of blood Because of friction from the walls of

An artery, the velocity of a blood corpuscle in an artery

Is greatest at the center of the artery and decreases as

The distance $r$ from the centre increases. The velocity

Of the blood in the artery can be modeled by the function

$v=k(R^2-r^2)$

Where $R$ is the radius of the artery and $k$ is a constant

That is determined by the pressure, the viscosity of

The blood, and the length of the artery. In the case

Where $k=2$ and $R=0.1$ centimeters, the velocity is $v=2(0.01-r^2)$ centimeters per second.

What distance $r$ would give a velocity of

$0.02$ cm/sec?

What distance $r$ would give a velocity of

$0.015$ cm/sec?

(c) What distance $r$ would give a velocity of $0$

Cm/sec? Where is the blood corpuscle?