A particle is subjected to two simple harmonic motions as: x_1=√ 7 sin 5 t cm and x_2=2 √ 7 sin (5 t +(π)/3) cm where x is displacement and t is time…

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