Is it farther or further?
"to make void, annul," early 14c., from Old French quasser, casser "to annul, declare void," and directly from Medieval Latin quassare, alteration of Late Latin cassare, from cassus "null, void, empty" (see caste (n.)).
Meaning "to break, crush," is early 14c., from Old French quasser, casser "to break, smash, injure, harm, weaken," from Latin quassare "to shatter," frequentative of quatere (past participle quassus) "to shake," from PIE root *kwet- "to shake" (cf. Greek passein "to sprinkle," Lithuanian kuteti "to shake up," Old Saxon skuddian "to move violently," German schütteln "to shake," Old English scudan "to hasten").
The words have influenced each other in form and sense since Medieval Latin and now are somewhat grown together. Related: Quashed; quashing.