A particle is part of a one-dimensional system. The only forms of energy are the potential energy U of the system and the translational kinetic energy K of the particle. Assume that the only force acting on the particle is that associated with the potential energy. a. Suppose that the following information about the acceleration of the particle and potential energy U are known. Atx x, the acceleration is in the positive x-direction and U>0. o Atx x2, the acceleration is in the positive x-direction and U<0. Atx xa, the acceleration is in the negativex direction and U<0. On the diagram above, sketch a graph of UC) that is consistent with the information given above. Explain your reasoning. (Hint: You may find part ILCof the tutorial Potential energy diagrams helpful) b. Is your sketch above consistent with the relationship between force and potential energy given in problem 0 of this homework?