1. The problem statement, all variables and given/known data A 3 kg object is moving along the x-axis where U(x) = 4x2. At x = -.5, v = +2. Find the object's position and KE as functions of time. Assume x = 0 at time t = 0. All forces acting on the object are conservative. 2. Relevant equations ME = U + K K = (1/2)mv2 F = dU/dx F = ma 3. The attempt at a solution Using initial conditions, ME = 4. F = dU/dx = 8x F = ma 8x = (3)d2x/dt2 This is where I got stuck. I was attempting to solve for x(t), find v(t), then use that to find K(t). Assuming everything else is correct, how do you solve a second order differential equation like this? Otherwise, please correct me.