An analysis of the temporal behavior of the image of a moving object in a simple imaging system is presented which explicitly takes into account the finite transit time of the light propagating from the object to the image plane. This analysis, which places no restrictions on the magnification of the imaging system or on the spatial shape or extent of the object, uncovers a number of novel and highly unorthodox phenomena hitherto unforeseen. Of particular significance, in the case where the object velocity ${v}_{o}$ and the magnification $M$ satisfy $\frac{(M+1){v}_{o}}{c}>1$, is the finding that a single object gives rise to two simultaneous images which move antiparallel to one another away from a common point in the image plane. One of these images displays a normal, forward time dependence, while the other image exhibits a time-reversal character resulting in the anticausality in the observed temporal behavior of the object and of time-dependent or causal events associated with it. The theory is developed to include the imaging of arbitrary, three-dimensional objects. The important case where the object is stationary but has a time-dependent intensity distribution is also examined and it is shown, in this case as well, that anticausal behavior can be observed in the image plane under quite general conditions. The ramifications of this work for high-speed photography in general are discussed, and numerous illustrations are given of the image behavior in time for moving objects of simple geometrical shapes.