A particle is subjected to two simple harmonic motions as: \( x_1 = \sqrt{7}\sin 5t \, \text{cm} \) and \( x_2 = 2\sqrt{7}\sin\left(5t + \frac{\pi}{3}\right) \, \text{cm} \) where \( x \) is displacement and \( t \) is time in seconds. The maximum acceleration of the particle is \( x \times 10^{-2} \, \text{ms}^{-2} \). The value of \( x \) is:
