A particle executes simple harmonic motion represented by displacement function as x(t)=A sin (ω t+φ) If the position and velocity of the particle at…

A particle executes simple harmonic motion represented by displacement function as $$x(t)=A \sin (\omega t+\phi) $$ If the position and velocity of the particle at $\displaystyle \mathrm{t}=0 \mathrm{~s}$ are $\displaystyle 2$ cm and $\displaystyle 2 \omega \mathrm{~cm} \mathrm{~s}^{-1}$ respectively, then its amplitude is $\displaystyle x \sqrt{2} \mathrm{~cm}$ where the value of $\displaystyle x$ is \_\_\_\_.