A variable force, given by the analytical expression F = 3x2 with x in meters, acts on an object, changing only the kinetic energy of the object. Assume the particle starts out at x=0. a) Make a sketch of the force acting on the object as a function of its position. b) How much work is done on the particle as it moves from x=0 to x=3m? c) Assuming the particle had a speed of 5m/s at x=0, what is its speed at x=3m?