In the absence of an external force on the astronaut, she will move in the same direction at the same speed forever.
According to the principle of conservation of linear momentum, in a closed or isolated system (absence of external force), the total momentum is always conserved.
[tex]m_a v_a = m_sv_s[/tex]
where;
Thus, in the absence of an external force on the astronaut, she will move in the same direction at the same speed forever.
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