$A$ mass $m = 100 \, g$ is attached at the end of a light spring which oscillates on a frictionless horizontal table with an amplitude equal to $0.16 \, m$ and a time period equal to $2 \, s$. Initially,the mass is released from rest at $t = 0$ and displacement $x = -0.16 \, m$. 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
  $x = -0.16 \sin (\pi t + \pi)$