HOW MUCH ASSISTANCE

THE AMOUNT OF ASSISTANCE
We (in Australia) used to be allowed to have 200 Watts of assistance. That has now been increased to 250 Watts, with some provisos. These are that a throttle is not allowed above 6kmh and the assistance must stop at 25kmh.
As a comparison a reasonably fit cyclist can sustain 200-250 Watts unassisted. (A Tour de France cyclist could manage double that,  and for 4 hours, but not you or I).
So what can 250 watts do? On a flat road 250 watts will go about 25kmh, and of course less on hills, depending on the slope. On a moderate hill (about 3 or 4%) the motor alone may slow down to about 15kmh.
You should not let the motor slow down any more than that because it will be running inefficiently and taking a much higher current from the battery, and that will reduce battery life.
You should pedal at least enough to keep the speed up to, or more than, 15kmh. If you have gears you should be able to get up most suburban hills, with you helping the motor. And you will do that several gears faster than you would without the motor.
Extra power does not give a proportional increase in speed – because wind resistance increases rapidly, and motor loses efficiency at higher speeds, but on hills at lower speeds the extra speed is more nearly proportional to the extra power.

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