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Although electric vehicles have nearly a 100 year history, there is a dramatic new level of interest as a result of a combination of improved component technology, air pollution control legislation, and the resulting response and announcements by automobile manufacturers in the development of high performance electric vehicles. These performance announcements are typically in terms of range at a particular speed and acceleration. However, vehicles will operate over a wide range of conditions. This paper develops a mathematical model of an electric vehicle in terms of power and energy requirements and conversion components, and presents an equivalent circuit model of the batteries as a function of the charge condition, with the battery parameters obtained from charge-discharge testing, and demonstrates the use of this model to predict vehicle performance over a variety of driving and battery conditions.