10 month old , eating until throwing up

Hi, welcome to the ehealth forum and I am glad to help you.
You seem concerned by the problems of overfeeding and spitting up in your 10 month old baby.
Overfeeding occurs when children are automatically fed as a response to crying, when they are given a bottle as a distraction or activity, or when they are allowed to keep a bottle with them at all times. Overfeeding also occurs when parents reward good behavior with food or expect children to finish their food even if they are not hungry. In the short term, overfeeding causes spitting up and diarrhea. In the long term, overfed children can become obese.
Spitting up can be reduced by feeding an infant before he gets very hungry, burping him every 4 to 5 minutes, placing him in an upright position during and after feeding, and making certain the bottle nipple lets out only a few drops with pressure or when the bottle is upside down. Spitting up that seems to cause an infant discomfort, interferes with feeding and growth, or persists into early childhood is called gastroesophageal reflux and may require medical attention. If the material that is spit up is green (indicating bile) or bloody or causes any coughing or choking, medical attention is needed.
Hope this helps. Take care.
Note: This post is not to emphasise final diagnosis as the same cannot be made online and is aimed just to provide medical information and no treatment suggested above be taken without face to face consultation with health care professional.