Show that charged particle entering a uniform electric field region follow parabolic path?
How?

Path of the electron in an electric field

We will consider next the case of an electron entering a uniform electroc field between two parallel plates (Figure 4). The potential difference between the plates is V and the plates are aligned along the x direction and the electron enters the field at right angles to the field lines:
The force on the electron is given by the equation:

F = eE = eV/d = ma