Solve the equation of motion to determine the transient response of a charged particle in the presence

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Solve the equation of motion to determine the transient response of a charged particle in the presence of a spatially uniform AC electric field E(t) = x̂E sin(ωt), which is switched on at t = 0. Assume that initially, at t = 0, the particle is at rest at the origin. Make a plot of the particle trajectory and velocity as a function of time.

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