Problem 1280. Elastic Collision 001: 1-D

Richard Zapor

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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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197 Solutions

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Last Solution submitted on May 03, 2026

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3 Comments

William on 29 Dec 2018

The abs() needs to be included in all of the test suite checks, not just the first one.

Nikolaos Nikolaou on 5 Feb 2020

Test suite is broken again , plz fix :)

goc3 on 28 Sep 2020

Each test case now includes abs().

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