A system and method for computationally estimating a directional velocity of a vehicle in real time under different configurations and road conditions for use in vehicle antilock braking, adaptive cruise control, and traction and stability control by correcting measured accelerations with respect to the estimated road angles. A time window is used to provide reliable mapped acceleration for the transient regions and maneuvers on gravel surfaces with high fluctuations in the acceleration measurement. Longitudinal and lateral accelerations are mapped from the vehicle's CG into the tire coordinates using the vehicle's geometry, lateral velocity, yaw rate, and the steering wheel angle to generate system matrices of the combined kinematic-force estimation structure.