#### Recti-linear motion

A particle moves along a straight line. Its velocity "v" is measured
at several different distances "s" from a fixed point. It is found
that the measured velocity can be well approximated by the equation :

v = v_{o}/ ( 1 + s/s_{o} ) with constants v_{o} = 3 m/s and s_{o} = 2 m
Derive the equation for the distance "s" as function of time "t" with the
initial condition of s=0 @ t=0.