  We attempt to describe the rapidity and transverse momentum spectra of
strange as well as non-strange hadrons e.g. cascade,cascadebar, lambda ,
lambdabar, proton, protonbar,(omega+omegabar, Kaon, anti-Kaon and their ratios
in the ultra-relativistic collisions of gold nuclei at (Root sNN)=200 GeV. This
is done by using a statistical thermal freeze-out model which incorporates the
rapidity (collision) axis as well as transverse direction boosts developed
within an expanding hot and dense hadronic fluid (fireball) till the final
freeze-out. We determine the thermo-chemical freeze-out conditions particularly
in terms of the temperature, baryon chemical potential and collective flow
effect parameters for different particle species. The parameters indicate
occurrence of freeze-out of the singly and doubly strange hyperon species at
somewhat earlier times during the evolution of the fireball. The experimental
data of the transverse momentum and rapidity distribution are well reproduced.
The contribution of heavier hadronic resonance decay is taken into account.
