An electron moving parallel to the $x$ axis has an initial speed of $3\mathrm{.}70{10}^6\frac{m}{s}$ at the origin. Its speed is reduced to $1\mathrm{.}40{10}^5\frac{m}{s}$ at the point $x=2\mathrm{.}00cm.$

a$)$ Calculate the electric potential difference between the origin and that point. $(4$ Marks$)$

b$)$ Which point is at the higher potential? $(2$ Marks$)$

of Calculate the magnitude of the net Electric Field vec$(E)$ exerted at the $1C.$

$(2$ Marks$)$

Given:

$m_e=9\mathrm{.}11{10}^{-31}kg,q_e=-1\mathrm{.}6{10}^{-19}C$