  We introduce a method to reconstruct full rapidity distributions of charged
particle multiplicity and net proton yields, crucial for constraining the
longitudinal dynamics of nuclear matter created in the beam energy scan
program. Employing rapidity distributions within a multistage hydrodynamic
model calibrated for Au+Au collisions at $\sqrt{s_\mathrm{NN}}=7.7-200\,$GeV,
we estimate the total energy and baryon number deposited into the collision
fireball, offering insights into initial dynamics and the identification of
nuclear remnants. We explore the potential of rapidity-dependent measurements
in probing equations of state at finite chemical potentials. Furthermore, we
compare the freeze-out parameters derived from both hydrodynamics and thermal
models, highlighting that the parameters extracted via thermal models represent
averaged properties across rapidities.
