(Solution) - A 3 kg particle starts from rest at x 0 and moves under the -(2025 Original AI-Free Solution)

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A 3-kg particle starts from rest at x = 0 and moves under the influence of a single force Fx = 6 + 4x ? 3x2 where Fx is in Newtons and x is in meters.
(a) Find the work done by the force as the particle moves from x = 0 to x = 3 m.
(b) Find the power delivered to the particle when it is at x = 3 m.