What training for maximizing athletic performance and/or sports rehab?

[Yugy]

Hello,

I would like to have a job working with athletes, helping them to
train and maximize athletic performance or with rehabilitating sports
injuries. I already have a BA in education with a major in Physical
Education.

I don't know which kind of MA I can study which will let me reach
these goals
I think there are several fields where you can do an MA degree related
to this kind of work, but I'm confused about what the differences are
between them.

First, please let me know if there is a discipline I'm not thinking
of, I list the one's I know below.

Second, I have some questions below about the disciplines that would
be very helpful to have your thoughts about. Here are my questions:

Yoli

SPORTS MEDICINE
What will be the nature of my contact with the athletes?
How long will it take me to complete the MA degree?
What job(s) does this prepare me for? What can I do exactly with this
degree?
What kind of place would I work at?

PHYSICAL THERAPY
What will be the nature of my contact with the athletes?
How long will it take me to complete the MA degree?
What job(s) does this prepare me for? What can I do exactly with this
degree?
What kind of place would I work at?

KINESIOLOGY
What will be the nature of my contact with the athletes?
How long will it take me to complete the MA degree?
What job(s) does this prepare me for? What can I do exactly with this
degree?
What kind of place would I work at?

ATHLETIC TRAINING
What will be the nature of my contact with the athletes?
How long will it take me to complete the MA degree?
What job(s) does this prepare me for? What can I do exactly with this
degree?
What kind of place would I work at?

EXERCISE SCIENCE
What will be the nature of my contact with the athletes?
How long will it take me to complete the MA degree?
What job(s) does this prepare me for? What can I do exactly with this
degree?
What kind of place would I work at?

EXERCISE PHYSIOLOGY
What will be the nature of my contact with the athletes?
How long will it take me to complete the MA degree?
What job(s) does this prepare me for? What can I do exactly with this
degree?
What kind of place would I work at?

PHYSICAL THERAPY ASSISTANT
What will be the nature of my contact with the athletes?
What job(s) does this prepare me for? What can I do exactly with this
degree?
What kind of place would I work at?