This achievement is self-explanatory: perform 10,000 jump rolls.
To jump roll in Everhood, the player needs to press and hold space while moving left or right. This ability is necessary to dodge many attacks, especially late game. It can become tedious replaying battles over again in attempt to get the achievement, so here is the solution I personally used:
(Spoiler is for post-endgame unlocks)
Go to the minecart battle in-game or
. Avoid the pressure plates that move the cart forward in order to avoid being attacked. Then, simply jump roll back and forth until you get the achievement.