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There has been increasing interest in information infrastructures based on vehicle-to-vehicle communications. Proposed network architectures have unique characteristics that distinguish them from other systems. We present analytical models to study spatial propagation of information in a highly mobile vehicle-to-vehicle ad-hoc network. We show that information propagation depends on vehicle traffic characteristics, e.g., the vehicle density, average vehicle speed and relative speed among vehicles. Simulations validate these models and highlight the need to include other vehicle traffic models.