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The potential energy for a function is given as U = k*abs(x). The motion is not SMH because U is non-differentiable at some point, but is periodic due there being a stable equilibrium. I was asked to come up with a velocity vs. time graph for this...but I dont know how the hell they got it (I dont even know how to derive the sinousidal functions for SMH)...the graph is not a trigonometric function and looks a little like this:

\/\/\/\/\/\/\ Its sort of like a sine function, except with alternating line segments.

The t-axis runs horizontally through the middle and the v-axis runs vertically so that the velocity is 0 at t = 0. How do I get this sort of graph.