Restive means "incapable of staying still". Well, then why does it have the root rest in it? Isn't that its own opposite? Indeed. Restive used to be its own antonym as little as 500 years ago, and to understand why it changed we need to understand horse domestication. A horse that didn't want to move was called restive, meaning that it stayed still. However, these horses stayed still because they were nervous, and that also was extended to make them jumpy and nervous. From there, you can easily see how the modern meaning evolved, as the other one lost prevalence. Anyway, in Middle English, restive was restyffe, from Middle French restif, still "motionless", from Old French rester, "to remain", which, yes, is from the root rest. This may be from Proto-Germanic, but it was more likely Latin; if the latter is the case, then it is an affixation of re- ("backward", from PIE wre, "again") onto stare ("stare", from PIE steh, also "stare").
Adam Aleksic, a leading contender for valedictorian of his high school, is a 215-month-old boy with disturbing interests in etymology, vexillology, geography, and law. Adam would like to one day visit Tajikistan and probably isn't spying for the Uzbek government.
The Etymology Nerd