# Finding velocity function from a model of force

by Falken_47
Tags: acceleration, differential, velocity
 Emeritus Sci Advisor PF Gold P: 5,197 Welcome to PF! Your calculus is fine, you just forgot how to do division:$$\frac{1}{v(t)} = \frac{\beta}{m} t + \frac{1}{v_0}$$$$\Rightarrow v(t) = \left[ \frac{\beta}{m} t +\frac{1}{v_0} \right]^{-1} \neq \frac{m}{\beta t} + v_0$$