Powertrain comprising a three speed transmission

A powertrain, comprising an electric motor and a three speed transmission connected to the electric motor, wherein the three speed transmission comprises:

• a transmission housing;
• a first shaft rotatably mounted in the transmission housing and connected to the electric motor;
• a first gear fixed for rotation with the first shaft;
• a second shaft rotatably mounted in the transmission housing;
• a second gear rotatably mounted about the second shaft;
• a third gear and a first clutch fixed for rotation with the second shaft, wherein the first clutch selectively fixes the second gear for rotation with the second shaft;
• a third shaft rotatably mounted in the transmission housing;
• a fourth gear and a second clutch fixed for rotation with the third shaft, wherein the fourth gear meshes continuously with the first gear and the second gear;
• a fifth gear rotatably mounted about the third shaft, wherein the fifth gear meshes continuously with the third gear, and the second clutch selectively fixes the fifth gear for rotation with the third shaft;
• a fourth shaft rotatably mounted in the transmission housing;
• a sixth gear fixed for rotation with the fourth shaft, wherein the sixth gear is in mesh with the fifth gear;
• a fifth shaft rotatably mounted in the transmission housing;
• a seventh gear and an eighth gear fixed for rotation with the fifth shaft, wherein the seventh gear is in mesh with the sixth gear;
• a sixth shaft rotatably mounted in the transmission housing;
• a ninth gear and a third clutch fixed for rotation with the sixth shaft, wherein the ninth gear is in mesh with the fourth gear;
• and
• a tenth gear rotatably mounted about the sixth shaft, wherein the tenth gear is in mesh with the eighth gear, and the third clutch selectively fixes the tenth gear for rotation with the sixth shaft.