The invention disclosed herein comprises a vehicle having improved suspension systems for wheels, motorized wheels and the seat of the user. The wheel suspension system includes a sleeve housing a non-round core snugly surrounded by an elastomeric shock-absorption material. Since both ends of the sleeve have downstanding arms forming the “forks” supporting a caster axle, irregularities in the terrain encountered by the caster exert torsion upon the core; embedding the core in elastomeric material dampens the shock. The suspension system for the wheel assembly (including any motorized drive shaft) essentially includes pivot-mounting the wheel assembly (wheel-motor) beneath the chassis frame, so that irregularities in the terrain encountered by the drive wheel cause the wheel assembly to flex inwardly (for bumps) or outwardly (for holes); in the resting position there is an elastomeric bumper or compression spring horizontally mounted adjacent to a stop-plate on the pivoting cradle carrying the wheel assembly (or wheel-motor), so that further inward flexion is dampened. The seat suspension system includes elastomeric bumpers essentially acting as fulcrums, to dampen shock by absorbing it directly and by cantilevering the seat for further shock absorption.