Persistence Hunting
We all know how smart humans are. Perhaps too smart for our own good. Our brains got the right nutrition, stimulus, and circumstances to vastly distance ourselves from previous versions of "human." As apex predators, over time, we used our brains to figure out many interesting ways of getting food in the most rapid way.
But, before all that, our bodies were fashioned into the ultimate killer. Back in those days, we didn't need to be smart. We had already figured it all out. Just run. Sure, our spears were made of hardened wood and couldn't pierce a mastodon's hide, but that didn't matter. Because we discovered something about ourselves.
Through exactingly perfect conditions, our legs grew longer, our heart became specialized, our hair suddenly disappeared, our hips narrowed, our lungs grew bigger, and we perfected one of the best ways of cooling our bodies. We became a predator that literally RAN PREY TO DEATH.
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And geeze, we sure did it enough so that over time, all that good protein gave us bigger brains. Then we invented the bow and arrow.