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Qmechanic
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Elastic collision resolution between two points

I'm mainly focused on Computer Science, but i trying to create one simulation where there i need to resolve collisions between points with mass and absolute velocities.

imagine having:

$point = <v_x, v_y, m>$
$v_x$ is velocity in x axis,
$v_y$ velocity in y axis
$m$ is mass

we have two point that we know, that they are colliding each other.

How can we measure the velocitites of particles after collision?

I have almost no background in physics but i'm highly interested to learn something so please, i would also love to have some materials from whose i could deduct formula.