42, my sympathies. This concept was obvious to people who couldn't even write, but you try to explain it to grown, educated folks and this is what you get.
Carving axes hung wide "open" when hung on curved handles, same idea, they are exploiting the concept. Downward curved knives, knives with curved handles which resemble almost identically an axe handle, used all over the planet by people who have no specific academic understanding of physics - same idea, as 42 said. Swing a straight axe (or knife) from point A to point B and then swing a curved axe - same head, same length - from the same points. The head on the curved handle impacts sooner when traveling the same distance. Just hold one of each on your hand out in front of yourself and you will witness this hearsay, convenient voodoo first hand. Whether you choose to ignore physics or not is irrelevant, how useful it is for the tool's intended purpose is relevant.
Not the same distance in a shorter time! Same angle and shorter distance, with greater velocity at the end.