# Motion of the electrons in a electric conductor when connected to a potential difference?

(I am a beginner in physics, so please forgive me if this is stupid.) Normally, under static electric state there is no resultant electric field existing inside a conducting material. But, when a potential difference is applied an electric field (E) generates inside the conductor.

So, my questions are,

1. According to F=ma and F=EQ (Q- electric charge of the particle), shouldn't the electron accelerate. Nevertheless, where V=IR and I= Q/Δt, it shows that when potential difference is constant(V), I is constant too, so the flow of current has a constant speed. How can I clarify this?
2. Doesn't the above scenario make the term 'drift velocity' inappropriate, hence the travelling electrons have a acceleration?
3. If we consider a long, thin conductor or a conductor with higher resistance ( like, a wire with 1mm diameter and 10km length) what does it means that current doesn't flow? Is it because the electric field weakens in longer distances or because the flow of the current is negligible in such instances. Or is it because the work done against the resistance in the conductor by electrons is higher than the energy which electrons attain by the potential difference (being in an electric field) within two terminals?

(sorry if my English is bad. English is not my first language. Most of the scientific terms I used are directly translated from my language. If you need any clarifications on this question feel free to ask...Thank you)