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The hydrokinetic model and the scheme of dynamical freeze out proposedearlier for the RHIC energy are extended to lower colliding energy fornon-vanishing baryon chemical potential. In this case a new two-phase equationof state is applied where baryon-rich hadronic matter is described withinmodified relativistic mean-field theory. As an example, the approach isemployed for analyzing pion and kaon spectra and interferometry radii of Pb+Pbcollisions at laboratory energies 40 and 158 AGeV. A good agreement is observedfor the transverse mass dependence of the longitudinal radius for both energiesstudied. The transverse radii $R_{out}, R_{side}$ reproduce experiment at$E_{lab}=$158\ AGeV but at $E_{lab}=$40\ AGeV there is a marked (20 \%)difference from experimental points. This discrepancy is more noticeable inanalysis of the ratio $R_{out}/R_{side}$. Nevertheless, considered examples ofapplication of the hydrokinetic model with equation of state including thefirst order phase transition are quite successful and further development ofthe model is required.

Spectra and femtoscopic scales in a hydrokinetic model for baryon-rich fireballs