What is the velocity of an electron that is in an electric field parallel to the trajectory of the electron?

Explanation:

Given that, the electron is moving parallel to the electric field.

Then the electron experience a force which is given by,

Therefore,

And q=e, and the acceleration is defines as,

Here, r is the the path traced by an electron.

Now equate the acceleration.

Now integrate both side with respect to t.

Now, consider at t=0 the initial velocity of electron is u.

Therefore the velocity of an electron is,

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