The coefficient of restitution often denoted can be found with some notion of Newton's Experimental Law.
This law states that: ""in a system of colliding bodies(usually 2 bodies) the relative velocity of separation is directly proportional to the relative velocity of approach"".
Mathematically expressed,
For a system of colliding bodies and
The constant of proportionality is
Thus we have,
The initial and final velocities of the two bodies colliding are all that are required to calculate e.