That 3kW estimate? Street tires, flat pavement. Knobby tires will take more power to do the same. More yet for grassy surfaces. Even more for sand. Even more for mud.
Also, that's power at the desired speed. If your controller and motor make enough power, but not at that speed, then you won't go as fast as the power could take you.
If you want to see the effect of different power levels, system parts, riding conditions, etc., i highly recommend experimenting with the motor and trip simulators at ebikes.ca .