I want to know how to say:
You should sit down and please stop moving.
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Assieds-toi (sit down) et ne bouge plus (and stop moving)
Assieds-toi et arrête de bouger !
I just remembered this particular kind of imperative (actually 'mode indicatif') that is sometimes used with children and pets. It conveys a stronger command than just the imperative mood. Point with finger for greater effect.
Tu t'asseois et tu arrêtes de bouger.
This is somewhat analogous to english 'You don't talk back to me' used as imperative.
To a child :
" Assieds-toi et tiens-toi tranquille"
"Assieds toi et cesse de remuer dans tous les sens"
To a dog : "assis, pas bouger"