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In order to study the properties of $J/\psi$ (1S) in the deconfining medium,we extend our previous formalism [Phys. Lett. B {\bf 656}, 45 (2007)] on$J/\psi$ suppression at mid-rapidity using the colour screening framework. Ourformalism is more general as the complete rapidity, transverse momentum andcentrality dependence including $J/\psi$ suppression at forward as well asmid-rapidity can be computed directly from it. Careful attention is paid to therole of the medium's proper time in determining the locus of the screeningregion where $J/\psi$ gets suppressed. Other important ingredients in thecalculation are bag model equation of state for QGP, the longitudinal expansionof the QGP fluid obeying Bjorken's boost invariant scaling law andnon-sequential/sequential melting of $\chi_c$ (1P) as well as $\psi^{'}$ (2S)higher resonances. Upon comparison with the recent data of PHENIX collaborationon $J/\psi$ suppression at forward and mid-rapidity regions, we find that ourmodel shows a reasonable agreement with the data without incorporating anysequential decay mechanism of higher charmonia states. Furthermore, we observea larger suppression at forward rapidity in our model which is again wellsupported by the PHENIX data and also gives a hint that a scenario based ondirectly produced $J/\psi$'s is preferable.

J/\psi suppression at forward rapidity as a potential probe for QGP formation in colour screening scenario