Four-speed transmission for an electric drive system

A drive system for a hybrid or electric vehicle that includes a transmission with four forward and four reverse gears. The transmission optionally includes a first and a second planetary gearset, and optionally a first and second range selector assembly. The range selector assemblies may include a clutch and a brake, and/or a synchronizer. The drive system may include a single electric motor with any example of a transmission of the present disclosure, or multiple electric motors individually driving separate transmissions. The motors may be arranged upstream or downstream of portions of a transmission, and they may be aligned parallel with or perpendicular to a drive axle, input shaft, output shaft, and any suitable combination thereof. An internal combustion engine may be included as well.