What is the tempo definition of "vivace"?

The correct answer is "very fast." In musical terminology, "vivace" is an Italian term traditionally used to indicate a lively and brisk tempo. Specifically, it suggests a speed that is faster than "allegro," which is already considered fast, but not quite as rapid as "presto," which is the most extreme tempo category. Therefore, describing "vivace" as "very fast" accurately reflects its place in the tempo hierarchy, distinguishing it from options that indicate slower tempos.