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no you can move out of state if you have joint custody.
No, you cannot move a child out of state if you have joint custody.
With or without the child? What is the state with jurisdiction over the case? If your custody order doesn't specifically outline those terms, you would need to supply that information for an informed answer.
By petitioning the court to give joint custody to the parents. In most state, Joint Legal Custody is the standard. If you mean Joint Physical Custody, with 50/50 Custody, this is more complicated, requiring preparation similar to petitioning for full custody.
If I am not mistaken I think it is fourteen in Texas
Can a father who has joint custody with the mother stop her from visiting another state with the child
No, you can not, unless the custody order is modified by the court.
You'd have to have permission from spouse and from the courts.
Yes if the father has joint custody he may leave the state with the child for a short period for purposes of a vacation.
Child support is determined according to state guidelines and physical custody is one of the factors used to determine the amount.