The flight to the center of the disc

A particle \(P\) having a charge of \(-1\ \mu\text{C}\) and mass 2 g is held at a distance of \(x=1\text{ m}\) from the center of a disc, as shown in the figure above. The disc has a radius of 2 m and surface charge density \(6.84\times 10^{-4} \text{ C/m}^2\).

The particle is released, and flies toward the disc. Find the velocity (in m/s) of the particle when it has covered half the distance.

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