The acceleration of a particle, starting from 'rest, varies with time according to the relation
$\mathrm{a}=-{\mathrm{s\omega }}^2\sin \mathrm{\omega t}$
The displacement of this particle at a time f will be

• A

  $\mathrm{s} \sin \mathrm{\omega t}$

• B

  $\mathrm{s\omega cos}\mathrm{\omega t}$

• C

  $\mathrm{s\omega sin}\mathrm{\omega t}$

• D

  $-\frac{1}{2}\left({\mathrm{s\omega }}^2\sin \mathrm{\omega t}\right){\mathrm{t}}^2$