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

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

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