A charged particle (mass m and charge q ) moves along X axis with velocity V_0. When it passes through the origin it enters a region having uniform…

A charged particle (mass $\displaystyle m$ and charge $\displaystyle q$ ) moves along $\displaystyle X$ axis with velocity $\displaystyle V_0$. When it passes through the origin it enters a region having uniform electric field $\displaystyle \overrightarrow{\mathrm{E}}=-\mathrm{E} \hat{j}$ which extends upto $\displaystyle x=\mathrm{d}$. Equation of path of electron in the region $\displaystyle x>\mathrm{d}$ is :