Which term describes a lively and spirited manner of playing?

The term that describes a lively and spirited manner of playing is "vivace." In musical terminology, "vivace" indicates a tempo that is fast and lively, contributing to an energetic feel in the performance. It reflects a brisk and cheerful character in the music, encouraging performers to bring a sense of vitality to their playing.

While "spiritoso" can also imply a spirited or lively style, it is more accurately described as having an expressive quality or spirited sensibility, rather than defining a specific tempo. Conversely, "allegro" expresses a fast tempo but does not inherently convey the same playful and dynamic energy that "vivace" covers. Lastly, "staccato" refers to a style of playing where notes are played sharply and detached from one another, focusing more on articulation than on the overall spirited manner of performance.

The distinction of vivace as the most fitting term for a lively and spirited manner highlights its direct connection to the energetic execution desired in such music.