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## Homework Statement

The equation is given:

v = f(t) = (mg/b)(1 - e^((-b/m)t))

Where v is velocity, m is mass, g is 9.81 and b is a constant of proportionality

I need to find the function k(x), where x is distance from said body's initial position.

2. The attempt at a solution

2. The attempt at a solution

v = f(t) = dx/dt

dx = f(t)dt

x = F(t)

and here I got stuck :/