Boarding School and Divorced Parents with Mixed Feelings

I have divorced parents, and my dad is very supportive of my choice to apply to boarding school. My mom, on the other hand, goes back and forth on how she feels about it. I would be going across the country, so distance and not seeing me is something that concerns her most. Sometimes she says that I’m leaving to escape problems at home (referencing my parent’s divorce mostly), but I honestly want to go to boarding school for other reasons besides that, and I have told her so. Every time we talk about me going, she starts off angry and I have to persuade her to calm down and explain to her why I want to go. In the end of our discussions, she seems to accept that boarding school is what I really want, but we will go for weeks without taking about it. I have already toured and applied, and I am waiting to hear back from the schools. I am just scared that she will change her mind again after I hear back from schools and not allow me to go. How do I convince her once and for all that boarding school is the best option for me and that it is what I truly want?