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Chapter 2: Q. 10 (page 59)

FIGURE EX2.7 showed the velocity graph of blood in the aorta. What is the blood鈥檚 acceleration during each phase of the motion, speeding up and slowing down?

Short Answer

Expert verified

The acceleration of blood during the speeding up phase is 16ms-2.

The acceleration of blood during the speeding down phase is-5.3ms-2.

Step by step solution

01

Given information

The velocity-time graph of blood in the aorta is shown below

02

Find the acceleration of blood in the aorta during the speeding up phase.

Average acceleration is given by the slope of the velocity-versus-time graph.

For the first phase, consider two points t1,v1=0.1,0and t2,v2=0.15,0.8.

The acceleration of the blood is

a=v2-v1t2-t1=0.8-00.15-0.1=16ms2

Therefore, the acceleration of blood during the speeding up phase is16ms2.

03

Find the acceleration of blood in the aorta during the speeding down phase.

For the second phase, consider two points t2,v2=0.15,0.8and t3,v3=0.3,0.

The acceleration of the blood is

a=v3-v2t3-t2=0-0.80.3-0.15=-5.3ms2

Therefore, the acceleration of blood during the speeding down phase is-5.3ms2.

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Most popular questions from this chapter

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