For carbonates, which, with in water, as a salt of an highly electropositive metal ion, leads to a high pH solution (high OH-), the reaction would be to form water and an acetate of the metal ion (ethanoic acid !! yuch!!).
With the metal itself, you probably don't want to do reactions in water, since water will react to release hydrogen and form the hydroxide of the metal. But in a suitable solution, the metal will release hydrogen from the acetic acid and form an acetate salt again.