For a person exercising, the velocity v (in liters per second) of airflow during arespiratory cycle (the time from the beginning of one breath to the beginning of the next) is modeled by v = 1.75 sin(πt/2) where t is the time (in seconds). (Inhalation occurswhen v > 0, and exhalation occurs when v < 0.)
(a) Find the time for one full respiratory cycle.
(b) Find the number of cycles per minute.
(c) Sketch the graph of the velocity function.