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An object falling through air experiences a drag force that is proportional to the square of...

An object falling through air experiences a drag force that is proportional to the square of its speed. If its cross-sectional area is defined as A, its terminal speed is proportional to:

A. A-1

B. A1/2

C. A2

D. A-1/2

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Answer #1

We know that the drag force is given by as

F = C p A V2 /2

Now terminal velocity

Vt = (2mg/pCA)^1/2

So Vt is proportional to A^ -1/2 (option d )

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