While your statement is perfectly accurate, I just wanted to blithely add that it's not the velocity that hurts you, it's the change in velocity :))

While it's a common joke, not quite - if you're hit by baseball, your velocity does not change significantly as energy is dissipated in other ways, and the change in velocity of the baseball is a consequence of the lost energy, not a cause of damage.

Dissipation of energy hurts you. :)

Velocity alone can also kill: https://what-if.xkcd.com/1/

Randall Munroe rules this space IMHO.