bounce, leap

(ひやく) To leap. Usually figurative. Make a leap forward in technology.
(おどる) To jump repeatedly up and down- as in “jumping jacks.”
はずむ To bounce, like balls.
(とびだす) To jump out in front of you suddenly. Normally you’ll see this on road signs, “Drive slow! Children might dash out!” Unlike the related words 跳躍 and 踊る, 飛び出す emphasizes jumping FROM a place. Jumping FROM the side of the road, or FROM the shadows.
(ちょうやく) To jump horizontally, as in the Olympic long jump.