Problem # p005

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 = vo/ ( 1 + s/so )     with constants vo = 3 m/s and so = 2 m

Derive the equation for the distance "s" as function of time "t" with the initial condition of s=0 @ t=0.