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AP® Calculus AB-BC

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The Velocity of Blood Flow

APCALC-MKQ1Z7

The velocity $v$ of the flow of blood at a distance of $r$ from the central axis of an artery of radius $R$ is given as:
$$v=k\left( { R }^{ 2 }-{ r }^{ 2 } \right) $$
Find the average velocity of the flow of blood along a radius of the artery.

A

$\cfrac{k}{3}R^{2}$

B

$\cfrac{k}{3}R^{3}$

C

$\cfrac{2k}{3}R^{2}$

D

$-kR$