It is generally a well known fact that sports impact mental health in a plethora of ways. For example: According to Beyond Blue, the community environment that sports create helps fast-track friendships; creates a support network that you otherwise may not have; in general provides a space of human connection. It has been proven to reduce stress, anxiety and depression (it has been claimed that physical exercise is more effective than taking antidepressants). It can help teach how to deal with setbacks, all while promoting better sleep (Beyondblue.org.au).
To sum it up, mentoring gives a stronger sense of identity and an ability to navigate the complex problems that life presents because you are not alone!