An object with mass 3.00 kg moves along the x-axis and is subject to a net force in Newtons given by: F(x) = 2x-4((x)^3) , where x is a position in meters, The object is placed at x = 1.00 m and released from rest. (a) Determine a potential energy function U(x), using the origin as a reference. (b) Sketch a single graph showing the two curves U and F. (c) Describe the resulting motion of the object in words. (d) Find the initial acceleration. (e) Find the maximum speed. (f) Starting at the same initial position, what initial speed would be required to propel the object x = -2.00m?