A method of scanning documents obtains the document that is to be scanned from an input tray, transports the document at a transport velocity past a scanner to obtain image data therefrom, and stacks each scanned document aligned with trailing-edge registration in a sloped output tray, in the order of scanning, by a sequence that detects the trailing edge of the scanned document, feeds the leading edge of the scanned document from an exit nip in a forward direction and above the sloped output tray at a transport velocity, then changes the speed at the exit nip to an exit velocity, different from the transport velocity, according to the timing of the trailing edge detection. The trailing edge of the scanned document is ejected at the exit velocity. The exit nip speed is restored to the transport velocity for feeding the leading edge of a subsequent document.