The acceleration of a particle, starting from rest, varies with time according to the relation\[\text{a}=-\text{s}{{\omega }^{2}}\sin \omega \text{t}\]. The displacement of this particle at a time t will be

\[\text{s }\omega \text{ cos }\omega \text{ t}\]

\[\text{s sin }\omega \text{ t}\]

\[\text{s }\omega \text{ sin}\omega \text{t}\]

\[-\frac{1}{2}\left( \text{s}{{\omega }^{2}}\text{ sin }\omega \text{t} \right){{\text{t}}^{2}}\]

The acceleration of a particle, starting from rest, varies with time a

1.	The acceleration of a particle, starting from rest, varies with time according to the relation\[\text{a}=-\text{s}{{\omega }^{2}}\sin \omega \text{t}\]. The displacement of this particle at a time t will be
A.	\[\text{s sin }\omega \text{ t}\]
B.	\[\text{s }\omega \text{ cos }\omega \text{ t}\]
C.	\[\text{s }\omega \text{ sin}\omega \text{t}\]
D.	\[-\frac{1}{2}\left( \text{s}{{\omega }^{2}}\text{ sin }\omega \text{t} \right){{\text{t}}^{2}}\]
Answer» B. \[\text{s }\omega \text{ cos }\omega \text{ t}\]