The displacement versus time curve for a particle executing $SHM$ is shown in the figure. Identify the points marked at which $(i)$ the velocity of the oscillator is zero,$(ii)$ the speed of the oscillator is maximum.

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(N/A) In the displacement-time graph of $SHM$,the crests and troughs represent the points of maximum displacement,where the velocity of the oscillator is zero.
$(i)$ At points $A$,$C$,$E$,and $G$,the displacement is at its extreme value,so the velocity is zero.
$(ii)$ At the mean position (where displacement is zero),the speed of the oscillator is maximum. Hence,at points $B$,$D$,$F$,and $H$,the speed is maximum.

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