<aside> 💥 In a perfectly elastic head-on collision in one dimension, momentum and kinetic energy are conserved.

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• During a head-on collision in one dimension, the kinetic energy of the moving masses is converted into elastic potential energy, and then back into kinetic energy during the rebound
  • Total mechanical energy is conserved throughout the collision

The velocities of the two objects are as follows:

In cases where $\overrightarrow v_2$ is initially zero:

In cases where the masses of the colliding objects are identical:

In cases in which one mass is significantly larger than the other mass, and the larger mass is stationary: