Music used:
Portal 2 main menu
TF2 map used:
balloon_race_v1
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The enormous equations converting between Hammer Units per second and miles per hour were calculated using the Web 2.0 scientific calculator.
The mathematical method used, as demonstrated by the first equation shown in the video, is to divide the velocity in HU/s by 300, and then multiply by 12.8. My preference of using these particular values is simply that most classes in Team Fortress 2 run forwards at 300 HU/s (equivalent to 12.8 mph).
Further info on the Hammer Unit and Noclip:
https://wiki.teamfortress.com/wiki/Hammer_unit
https://developer.valvesoftware.com/wiki/Noclip
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Source Engine Science - How fast can you move within Source? | NatokHD