Mechanics ODE Problem Particle I have a particle of mass $M$ which moves with a velocity $v$, such that;
$$Mv' = -Mg - kv^2$$ where 
$g$ and $k$ are positive,
and its initial velocity is $U$, i.e $v(0) = U$.
I am then told that the particle travels until it becomes stationary, at a distance $D$ from it's original position.
I am looking for an expression for this distance, but I am unable to solve non linear second order ODEs so I am wondering if there is a different approach available?

This ODE is nonlinear, but first order (because there is only a first derivative to $t$). To solve it, use the method of separation of variables.
