They meet when (x_A = x_B) [ v_0 t = \frac12 a t^2 \quad\Rightarrow\quad t\left(v_0 - \fraca2 t\right) = 0 ] Solutions: (t = 0) (initial point) and (t = \frac2v_0a) (first meeting).
The force acting on the charged particle is given by:
How do AGN affect the growth and evolution of galaxies?