The displacement of a particle varies with time as $x = 12\sin \omega t - 16{\sin ^3}\omega t$ (in $cm$). If its motion is $S.H.M.$, then its maximum acceleration is
  • A$12\,{\omega ^2}$
  • B$36\,{\omega ^2}$
  • C$144\,{\omega ^2}$
  • D$\sqrt {192} \,{\omega ^2}$
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