Was is David Attenborough's "Planet Earth"? There was a bit about a tribe that hunt antelope or some other kind of herd animal. After separating one from the herd, the human eventually "outruns" it. Not in speed but just tenacity, endurance — the animal eventually collapses.
Blew my mind that we could do that.
It's possible it's in both places. In the book there is a passage, "if you can run six miles on a summer day then you, my friend, are a lethal weapon in the animal kingdom. We can dump heat on the run, but animals can’t pant while they gallop."