In this paper the electromagnetic and massive scalar perturbations of the Schwarzschild acoustic black hole are studied and their characteristic oscillation frequencies, so-called quasinormal modes are calculated. It has been shown that the odd-and evenparity electromagnetic perturbations are isospectral. We have shown that small value of a tuning parameter (xi < 2) of the acoustic black hole decreases the frequency and damping rate of perturbations. A quasi-resonance modes of the massive scalar perturbations that corresponds to possible maximum value of mass of the scalar field to generate the quasinormal modes have been determined. The mass of the scalar field makes the perturbations longer-lived. The time-domain analysis of the perturbations have shown that the acoustic black hole is stable against electromagnetic and scalar perturbations.