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 $\mathrm{x}=-0.16$  metre. The expression for the displacement of the mass at any time t is 

• A

  $\mathrm{x}=0.16\cos \left(\mathrm{\pi t}\right)$

• B

  $\mathrm{x}=-0.16\cos \left(\mathrm{\pi t}\right)$

• C

  $\mathrm{x}=0.16\sin (\mathrm{\pi t}+\mathrm{\pi })$

• D

  $\mathrm{x}=-0.16\sin (\mathrm{\pi t}+\mathrm{\pi })$