Elastic Collision of two particles. wiki Elastic Collision
Solve Conservation of Momentum and Kinetic Energy Equations for a point elastic collision.
m1*u1+m2*u2=m1*v1+m2*v2
m1*u1^2+m2*u2^2=m1*v1^2+m2*v2^2
Elastic Collision Gifs from wikipedia. [used < < copy image location > >]
Given [m1,u1,m2,u2] solve for v1 and v2 under ideal elastic collision conditions.
Input: [10, 1, 10, 0]
Output: [0 1] v1 and v2
Future: 2-D Elastic equal masses, 2-D Elastic equal masses with find contact, Relativistic Elastic, and 3-D Elastic Equal Masses

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