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 \( t = 0 \, \text{s} \) are \( 2 \, \text{cm} \) and \( 2\omega \, \text{cm s}^{-1} \) respectively, then its amplitude is \( x\sqrt{2} \, \text{cm} \) where the value of \( x \) is __________.
