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Another AI slop post which skips a few interesting details. Also seriously check its "code" output, it claims inverse square but performs simple inverse.

In any case, actually Id Software did understand the basic idea of propelling the player that way, because they put a secret area in the original Doom which is accessible only with the lateral speed from an explosion.

Later with Quake, it was deliberate that looking down and using a rocket knocked the player slightly upward, all they missed was the huge vertical power of doing that while also jumping. The first time Id Software saw it was when a team of players used it to win a deathmatch game against them.