Calculating Displacement from Velocity-Time Graphs Video Lessons

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Problem: A somewhat idealized graph of the speed of the blood in the ascending aorta during one beat of the heart appears as in Figure P2.16. a. Approximately how far, in cm, does the blood move during one beat? b. Assume similar data for the motion of the blood in your aorta, and make a rough estimate of the distance from your heart to your brain. Estimate how many beats of the heart it takes for blood to travel from your heart to your brain. 

FREE Expert Solution

a.

Distance is the area under the curve.

Area is A = (1/2)Δv(Δt)

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Problem Details

A somewhat idealized graph of the speed of the blood in the ascending aorta during one beat of the heart appears as in Figure P2.16. 

a. Approximately how far, in cm, does the blood move during one beat? 

b. Assume similar data for the motion of the blood in your aorta, and make a rough estimate of the distance from your heart to your brain. Estimate how many beats of the heart it takes for blood to travel from your heart to your brain. 


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