Electrostatics and Magnetostatics — UPSC Physics Optional IFoS 2019 Paper I

A charge of -3\cdot 30\ \mu\text{C} is fixed in place. From a horizontal distance of 0\cdot 0455\text{ m}, a particle of mass 7\cdot 35 \times 10^{-3}\text{ kg} and charge -7\cdot 45\ \mu\text{C} is fired with an initial speed of 62\cdot 5\text{ m/s} directly towards the fixed charge. How far does the particle travel before it comes to rest ?