# Science:Math Exam Resources/Courses/MATH102/December 2010/Question 05

MATH102 December 2010

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### Question 05

When a person breathes, the volume of air in the lungs may be modelled by a function of the form

${\displaystyle \displaystyle V(t)=C+A\sin(\omega t+\phi ),}$

where V is the volume in millilitres and t is time in seconds. Suppose the minimum and maximum volumes are 1400 and 3400 ml respectively, and the maximum rate of change of V is 1200 ml/sec.

What is the period of V(t)?

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