A mass $m =100\, gms$ is attached at the end of a light spring which oscillates on a frictionless horizontal table with an amplitude equal to $0.16$ metre and time period equal to $2 \,sec$. Initially the mass is released from rest at $t = 0$ and displacement $x = - 0.16$ metre. The expression for the displacement of the mass at any time $t$ is
  • A$x = 0.16\cos (\pi t)$
  • B$x = - \,0.16\cos (\pi t)$
  • C$x = 0.16\sin (\pi t + \pi )$
  • D$x = - \,0.16\sin (\pi t + \pi )$
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