A particle with charge $3\mathrm{.}20{10}^{-19}C$ is placed on the $x$ axis in a region where the electric potential due to other charges increases in the $+x$ direction but does not change in the $y$ or $z$ direction

Part A

The particle, initially at rest, is acted upon only by the electric force and moves from point a to point $b$ along the $x$ axis, increasing its kinetic energy by $3\mathrm{.}20{10}^{-19}J.$ In what direction and through what potential difference $V_b-V_a$ does the particle move?

View Available Hint$($s$)$

The particle moves to the left through a potential difference of $V_b-V_a=1\mathrm{.}00V$

The particle moves to the left through a potential difference of $V_b-V_a=-1\mathrm{.}00V$

The particle moves to the right through a potential difference of $V_b-V_6=1\mathrm{.}00V$

The particle moves to the right through a potential difference of $V_b-V_a=-1\mathrm{.}00V$

he particle moves to the left through a potential difference of $V_b-V_a=10\mathrm{.}0V.$

The particle moves to the right through a potential difierence of $V_6-V_a=-100V$