While you have it plugged into the USB on your computer and while the computer is turned on, that is how TOMTOM recommends you put a full charge on your TOMTOM One device. If your computer is turned off, it can not charge the TOMTOM. Please note that "some" of the old computers may have a USB2 port that does not feed power. Check with your computer manufacturer. Easiest way to tell is plug it in and see if the little green light on top of the TOMTOM One is on ( next to the power button ). Check before you turn the TOMTOM One on.
Your vehicle 12volt charging adapter is for maintaining the battery. When you turn your vehicle off, make sure there is power to that 12v outlet you are using. If there is power, you will trickle charge the TOMTOM One as long as it's plugged in. There is no harm in doing so either. If the 12v outlet is not powered when the vehicle is turned off, then of course it can not provide any charging capabilities. Again, check for the little green light on top by the power button.
TOMTOM recommends that you re-charge your TOMTOM One, once a week, if you leave it unplugged for that amount of time.
Search around this forum and you will find a recommendation for an AC dapater you can use, also.
Hope this helps ya...