Should the ekick air scooter take off fully or do u ave to kick start it

Flat battery. Unless the battery is fully 12.2 - 12.6 volts, it won't start with the electric start. If the voltage goes below 11 volts, there is not enough power for fuel injection and ignition assuming your mystery scooter has fuel injection. Connect it to a battery charger for 8 hours.

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Sounds like you may have multiple issues--battery could be bad and or your charging system has failed---give this a try
https://www.google.com/search?q=buddy+50+scooter&rlz=1C1NHXL_enUS713US714&oq=buddy+50&aqs=chrome.1.69i57j0l5.7343j0j9&sourceid=chrome&ie=UTF-8#q=buddy+50+scooter+battery+change

https://www.google.com/search?q=buddy+50+scooter&rlz=1C1NHXL_enUS713US714&oq=buddy+50&aqs=chrome.1.69i57j0l5.7343j0j9&sourceid=chrome&ie=UTF-8#q=buddy+50+scooter+check+charging+system

Take your spark plug out of the cylinder, reconnect it to the ht lead and place it on to your frame if you see a spark then your coil is fine, try a new spark plug, if there is no spark get a new coil and plug.

Remember there is a 2t and a 4t version of the kymco vitality and the spark plugs are different.

When you kick start a motorcycle or scooter, the motor turns over much faster than your electric starter can turn it over, even with a new battery.
I saw this before with several brands of scooters and the problem was solved by making sure you have clean battery terminals, and a fully charged good battery.
Some batteries will take a full charge but cant take a load. So your battery may seem good because it has 12+ volts, but when you try to start it it drops below 10-11 volts.
Most local auto parts stores can put a load test on your battery for free. If you purchase a new one, make sure it is the one called for for your scooter.

Scooter Troubleshooting Scooter won start All about Scooters

http://scootermasters.com/manuals/02-05%20Zuma%20SM.pdf

https://www.youtube.com/watch?v=PBpS_KTQgN0

Hopefully, one of these links will help.

first drain the carby, then set your air mixture screw 2 turns out, from the fully turned in position. The starting proceedure is as follows, when the engine is COLD, turn on fuel, pull on the choke fully, and kick the engine over. DO NOT use any throttle, when the engine is cold, and the choke is on. Remember Choke on, NO throttle.
When warm, no choke, and a little throttle when kicking.

Found out that the brake had to be depressed all the way, and not just until you hear the "click". Squeeze the brake hard, and it will start every time. It's a safety feature that Honda has to ensure that the scooter is in control once it's started.

Did you remove the battery from the scooter before charging? The scooter circuitry may be giving the charger false readings.

Can you try to jump start the scooter using a car and some jumper leads? If it starts that way, then your battery is dead.