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As blood moves through a vein or an artery its velocity v is greatest along...

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Calculus

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As blood moves through a vein or an artery its velocity v is greatest along the central axis and decreases as the function of r is called the law of laminar flow For an artery with radius 0 5 cm the relationship between v in cm s and r in cm is given by the function v r 18 500 0 25 2 Osrs0 5 0 5 cm a Find v 0 1 and v 0 4 v 0 1 4440 v 0 4 16650 cm s x cm s b What do your answers to part a tell you about the flow of blood in this artery The blood flows much faster 0 1 cm from the center than 0 1 cm from the edge The blood flows much slower 0 1 cm from the center than 0 1 cm from the edge The blood flows with the same velocity 0 1 cm from the center as it does 0 1 cm from the edge Nothing can be determined about blood flow from part a c Make a table of values of v r for r 0 0 1 0 2 0 3 0 4 0 5 r in cm V r in cm s 0 4625 0 1 4440 0 2 3885 0 3 2960 0 4 1665 0 5 0

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