For a person at rest, the velocity v (in liters per second) of air flow during a

Chapter 5, Problem 82

(choose chapter or problem)

Health For a person at rest, the velocity v (in liters per second) of air flow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next) is given by

\(v=0.85 \sin \frac{\pi t}{3}\)

where t is the time (in seconds). (Inhalation occurs when v > 0, and exhalation occurs when v < 0.)

(a) Use a graphing utility to graph v.

(b) Find the time for one full respiratory cycle.

(c) Find the number of cycles per minute.

(d) The model is for a person at rest. How might the model change for a person who is exercising? Explain.

Text Transcription:

v=0.85 sin frac{pi t}{3}