An inverse dynamics approach is applied to assess the relationship and establish an adjustable balance between acceleration performance, slip energy efficiency, and mobility margins of a wheel of a vehicle with four wheels individually-driven by electric DC motors. The time history of the reference wheel torques are recovered which would enable the motion at the desired linear velocity. Target velocity profiles are applied which provide different rates of acceleration. The profiles are simulated in stochastic terrain conditions which represent continuously changing, uncertain terrain characteristics with various quality of rolling resistance and peak friction coefficient. A wheel mobility margin is determined to track how close a driving wheel is to immobilization. When moving in drastically changing stochastic terrain conditions, boundaries are adjusted to accommodate changes in the resistance to motion in order to guarantee the motion while not exceeding limits which would cause excessive tire slippage. The mathematical models were developed in a way to facilitate their applicability for autonomous vehicles.