You abandon something when you completely leave it alone. You can abandon a place, a person, a project or many other things.
Abandon might also mean that you give up all your restraint and self-control, for example "She abandoned herself to the music".
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Achieve means to complete or accomplish a task or goal successfully. A team works together to achieve more than each member of the team could do individually.
When you adore someone or something it means you have a high level of respect, admiration or love for that person or thing. For example, the man in the picture adores Audrey Hepburn because she was a great actress.
Adorn means to make a person or thing more attractive by adding something beautiful to it. People often adorn themselves with jewelry. The statue in the picture has been adorned with flowers.
You aim something that fires a projectile by pointing it so the projectile will hit a target.
You can also aim for a more abstract goal, like you can aim to lose five pounds by Christmas.