In SHM maximum velocity is at
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Simple Harmonic Motion, maximum speed occurs at x = 0 (the equilibrium level or position), and speed is zero at the extreme ends ( x = +/- A )." Of course, if we use the word "Velocity", the respective direction(s) must be determined. Acceleration has a different story. At the middle (x = 0), acceleration is zero.
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0 = maximum velocity of SHM
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