?A 2.0 kg particle moves along an x axis, being propelled by a variable force directed

Chapter 5, Problem 11

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A 2.0 kg particle moves along an x axis, being propelled by a variable force directed along that axis. Its position is given by \(x=3.0 \mathrm{m}+(4.0 \mathrm{m} / \mathrm{s}) t+c t^{2}-\left(2.0 \mathrm{m} / \mathrm{s}^{3}\right) t^{3}\), with x in meters and t in seconds. The factor c is a constant. At t = 3.0 s, the force on the particle has a magnitude of 36 N and is in the negative direction of the axis. What is c?

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