A vehicle safety seat and related methodology featuring (a) an anti-spring-back seat platform having a generally upwardly facing support surface, (b) a triggerable acceleration structure disposed cooperatively relative to that support surface in a manner whereby the acceleration structure is operatively interposed that surface and any person occupying the seat, with this acceleration structure being triggerable to accelerate such a person generally upwardly away from the support surface, and (c) trigger structure responsive to the detection of a preselected downward deceleration of the seat platform to trigger the acceleration structure. A viscoelastic, acceleration-rate-sensitive cushioning structure is selectively interposed the acceleration structure and any seated occupant.