Velocity of air during a cough according to b f visser the, Physics

Velocity of air during a cough according to b f visser the

Velocity of air during a cough According to B. F. Visser, the velocity v of air in the trachea during a cough is related to the radius r of the trachea according to

v = ar2(r0 - r)

where a is a constant and r0 is the radius of the trachea in a relaxed state.

Find the radius r that produces the maximum velocity of air in the trachea during a cough.

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