[UPSC CSE 2026] Electrostatics and Magnetostatics (Q2, 10M)

A charge of -3\cdot 30\text{ }\mu\text{C} is fixed at a point. From a horizontal distance of 0\cdot 0455\text{ m}, a charged particle of mass 7\cdot 35 \times 10^{-3}\text{ kg} and charge -7\cdot 45\text{ }\mu\text{C} is fired with an initial velocity 62\cdot 5\text{ m/s} directly towards the fixed charge. How far does this charge travel before its speed becomes zero?