A particle performing SHM having amplitude ‘a’ possesses velocity $\frac{(3{)}^{1/2}}{2}$ times the velocity at the mean position. The displacement of the
particle shall be

• A

  $\mathrm{x}=0.1\sin \left(4\mathrm{\pi t}+\frac{\mathrm{\pi }}{4}\right)\mathrm{m}$

• B

  $\mathrm{x}=0.1\left(\sin 4\mathrm{\pi t}\right)\mathrm{m}$

• C

  $\mathrm{x}=0.1\cos \left(4\mathrm{\pi t}+\frac{\mathrm{\pi }}{3}\right)\mathrm{m}$

• D

  $\mathrm{x}=0.1\left(\sin 4\mathrm{\pi t}-\frac{\mathrm{\pi }}{3}\right)\mathrm{m}$