The velocity v(x) of a particle moving in one dimension is given by v(x) = v0 sin\(\rm\left(\frac{\pi x}{x_0}\right) \), where v0 and x0 are positive constants of appropriate dimensions. If the particle is initially at x/x0 = ϵ, where |ϵ| ≪ 1, then, in the long time, it
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executes an oscillatory motion around x = 0
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tends towards x = 0
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tends towards x = x0
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executes an oscillatory motion around x = x0