If you haven’t read about cursorial hunting, the Wikipedia article [1] is worth the time. Humans are one of like five known persistance hunters. Our ancestors (and certain Kalahari contemporaries) would literally chase their prey until they died of exhaustion.

From the perspective of the prey, it is uniquely horrifying. You outrun your predator. But every time you stop to catch your breath, before you’ve had a chance to cool down, they reappear, in the distance, on the horizon. Each time nearer. Hours or even days on end. Repeatedly until, finally, your legs or heart give out.

[1] https://en.m.wikipedia.org/wiki/Persistence_hunting