I watched a few episodes and thought to open here a resident office of "Because science"

Some doubts came to mind, and to enter in my thoughts, a specific question comes to mind: how fast can we accelerate protons?
Thus, I wanted to find a parametric answer which only depends on the specific energy we can put in the particle accelerator.
If you want a precise answer (numeric), you have to find how much kinetic energy the particle accelerator can use, then you can calculate how much the injected particles (protons) are are close to the light speed

After some clean up on the blackboard ...
