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A particle performs $SHM$ on $x-$ axis with time period of $0.5\,sec,$ such that it's velocity is zero at $x = -3\,cm$ and at $x = 9\,cm$. It was located at $x = 0$ and moving in negative $'x'$ at $t = 0$. The equation of $SHM$ of the particle is
  • A$x = -3 + 6\,\,sin\,(4\pi t + \pi /6)$
  • B$x = 3 + 6\,\,sin\,(4\pi t + 7\pi /6)$
  • C$x = 9\,\,sin\,(4\pi t + \pi /6)$
  • D$x = 9\,\,sin\,(4\pi t + 7\pi /6)$
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