1. The problem statement, all variables and given/known data The force acting on a particle of mass m is given by F=kvx in which k is a positive constant. The particle passes through the origin with the speed v naught at time t=0. Find x as a function of (t) 2. Relevant equations F=ma a=(dx/dt)(dv/dx) 3. The attempt at a solution F=kvx ma=kvx a=kvx/m (dx/dt)(dv/dx)=kvx/m v(dv/dx)=kvx/m dv/dx=kx/m dv=(kx/m)dx integral of both sides left in terms of dv and right in terms of dx V-Vnaught=kx^2/2m I'm not sure where to go from here. Help would be very much appreciated!