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

Where t is the time (in seconds) .
(Inhalation occurs when v > 0 and exhalation occurs when v < 0.)
Select the graph of this velocity function.

Question

For a person at rest, the velocity v (in liters per second) of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next) is given by ​  ,
​
Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0.)
Select the graph of this velocity function.
​

Quizplus · Accepted Answer

The graph should have a period of approximately 5 seconds and alternate between positive and negative values, representing inhalation and exhalation, respectively. The graph in choice A satisfies these requirements, while the others do not. Choice B has a period of approximately 3 seconds and does not have alternating positive and negative values. Choices C, D, and E have periods that are too large and do not have alternating positive and negative values.

For a Person at Rest, the Velocity V (In Liters