Tidal volume is the volume of air displaced in the lungs between inhalation and exhalation (the amount of air in a breath). The residual volume is given by the amount remaining in the lungs even after the deepest exhalation (i.e. the minimum amount of air remaining in the lungs).
a) Suppose that a person is running and a full breath is completed every 2 seconds. Further suppose that the person’s tidal volume during the run is 3200 mL and that the residual volume is 1150 mL. Express the volume of air in the person’s lungs in the form V(t)=Acos(Bt)+C where V is the volume in mL, t is the time in seconds, and the time t=0 corresponds to the lungs being at their fullest.