Vivace means 'lively, vivacious, spirited, brisk'. It usually means a speed slightly faster than allegro, but not as fast as presto. The term is sometimes used with allegro, 'allegro vivace' = 'quick and lively'. It effectively means the same as 'vivo' = 'alive'.

The extract illustrated below is from Schubert's Sonatina in D major, for violin and piano. It is marked 'Allegro vivace'.