Write for the side length. In an equilateral triangle, the distance from centre to a vertex is ; it is two thirds of the altitude . By the superposition principle, the electric potential at the centre due to the three fixed Electrons is
Here is the elementary charge and the vacuum permittivity. The approaching Electron has electric charge , so its potential energy, measured relative to infinity, is positive:
The fixed sources do not move, and radiation is excluded. Hence conservation of mechanical energy gives
Using , for the electron mass, and gives
This speed is small enough to justify classical kinetic energy. There is an idealization in the word “stops”: along the line normal to the triangle through its centre, this threshold energy makes the Electron approach the central equilibrium asymptotically. A smooth, conservative trajectory cannot reach an equilibrium with exactly zero velocity in finite time unless it was already there. The energy threshold, and therefore the requested initial speed, is nevertheless unambiguous.

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