Hello guys, I am not sure whether this is actually a simple problem but I'm not really a physics student, just someone very passionate for it.(adsbygoogle = window.adsbygoogle || []).push({});

So I'm trying to use newton's second law in its relativistic version (force is equal to the rate of change in momentum) to find the velocity and acceleration of a particle after a discrete period of time t. My difficulty arises because the velocities are present in the gammas, so I tried solving by substitution but it ended being really messy.

So my problem is to get the final velocity (or the acceleration, of course) of a particle given the force acting on it, its initial velocity, position and acceleration, and its mass, using discrete quantities and in three dimensions. Should I be using four-vectors?

Relevant formulae:

F= dp/dt (should actually be deltas as i'm looking at the discrete case)

p= m*v*gamma

gamma = 1 / sqrt(1 - v^{2}/c^{2})

I would appreciate any help you can give me, even if it is just pointing in the right direction. Thanks in advance.

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# Homework Help: How to get final velocity in relativistic mechanics

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