The potential energy function of a particle of mass m is , where a,c > 0. Sketch V as a function of x and describe the possible types of motion in the three cases (a) E > 0, (b) and (c)

I can sketch the graph which gives you an upside-down parabola, but i cannot see how to determine the motion, i think it have something to do with T+V=E (conservation of energy)