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.            \[\sqrt{192}\,{{\omega }^{2}}\]