1. The problem statement, all variables and given/known data Find the velocity x' as a function of the displacement x for a particle of mass m, which starts from rest at x =0, subject to the following force function: F0 + cx 2. Relevant equations Fx = m d2x/dt2 ax=Fx/m=x''=v dv/dx 3. The attempt at a solution So I'm pretty sure I'm doing this wrong, perhaps not, but the question confused me. Right now I've rearranged the equation so it looks like x''dx=vdv and when I integrate both sides it becomes: v2/2 = F0x+cx2/2 And then I multiply the right side by two and square root? It seems wrong to me. Any help would be much obliged.