Physics - Kinematics Question with Solution | TestHub

A body starts moving on $x$-axis from rest from $x=-2\mathrm{m}$. Acceleration $\vec{a}$ of the particle varies according to the equation $\overrightarrow{\mathrm{a}}=-(\pi \mathrm{rad}/\sec {)}^2(\overrightarrow{\mathrm{x}})$ for $0\le \mathrm{t}\le \frac{1}{2}\sec ,\overrightarrow{\mathrm{a}}=\left(5\pi \mathrm{m}/{\mathrm{s}}^2\right)\left(\frac{\overrightarrow{\mathrm{x}}}{|\overrightarrow{\mathrm{x}}|}\right)$ for , $\mathrm{t}>\frac{1}{2}\sec$, where $\overrightarrow{\mathrm{x}}$ is the position vector of the particle at any instant t . Then velocity of the particle at $x=\frac{\pi }{2}\mathrm{m}$ is $\mathrm{A}\pi \mathrm{m}/\mathrm{s}$ then the value of " A " is :-