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Varnson
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Homework Statement
Assume that a water droplet falling through a humid atmosphere gathers up mass at a rate that is proportional to its cross-sectional area A. Assumethat the droplet starts from rest and that its initial radius R0 is so small that it suffers no resistive force. Show that its radius adn its speed increase lineraly with time.
Homework Equations
A= pi[(4/3)pi]^(-2/3)*Vol^(2/3)
The Attempt at a Solution
I found the above equation to relate the area to the volume. I am stuck on this and do not know which direction I should head in.