A 0.2-kg particle is moving along the x-axis, subject to the potential energy function shown in the figure, where UA = 50 J, UB = 0 J, Uc = 25 J, UD = 10J, and UE = 60J along the path. If the particle was initially at x = 4 m and had a total mechanical energy of 40J, determine:
a) the particle's speed at x = 3 m;
c) the particle's speed at x=4.50m and
(c) the particle's turning points

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