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