Question

If, instead of the second electron coming in from infinity, it is initially at x = + 20.00 m on the axis and is given an initial velocity of 500.0 m/s toward the origin, does it reach the origin?

Answer 1

If the electron keeps that speed, then yes.

Explanation:

The electron is given an initial position in the space, and is given a positive velocity and a direction towards the origin. Since the distance is finite, eventually, by keeping the same velocity and direction it will reach the origin At some time.

If the speed gradually decreases, it may be the case that the particle will never reach the origin (even though it may never stop), but since the problem doesnt state anything i am assuming that is not the case.