The oscillator's motion is periodic; that is, it is repetitive at a constant frequency.
The restoring force within the oscillating system is proportional to the negative of the oscillator's displacement and acts to restore it to equilibrium.
The velocity of the oscillator is maximum as it passes through equilibrium, and zero as it passes through the extreme positions in its oscillation.
The acceleration experienced by the oscillator is proportional to the negative of its displacement from the midpoint of its motion.
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