- #1

Nano-Passion

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## Homework Statement

Consider an object that is coasting horizontally subject to a drag force f = -bv = cv^2. Write down Newton's second law...

## The Attempt at a Solution

So I did all of the steps leading up to this:

[tex]m∫\frac{dv}{bv+cv^2}=-t dt[/tex]

Using partial fractions I get [tex]\frac{1}{bv+cv} = \frac{c_1}{v}+\frac{c_2}{b+cv}[/tex]

[tex]1 = c_1(b+cv)+c_2v[/tex]

Usually in partial fractions you have something like [tex]c_1(x-a)[/tex] where a is a real number. However there is no real number there so I am confused on what to do.