The velocity of a particle executing simple harmonic motion along x -axis is described as v^2=50-x^2, where x represents displacement. If the time…

The velocity of a particle executing simple harmonic motion along $\displaystyle x$-axis is described as $\displaystyle v^2=50-x^2$, where $\displaystyle x$ represents displacement. If the time period of motion is $\displaystyle \frac{x}{7} \mathrm{~s}$, the value of $\displaystyle x$ is $\displaystyle \_\_\_\_$.