What is the difference between sports medicine and exercise physiology?

Sport science is a discipline that studies the application of scientific principles and techniques with the aim of improving sporting performance. Human movement is a related scientific discipline that studies human movement in all contexts including that of sport.

where as

Sports medicine is an area of health and special services that apply medical and scientific knowledge to prevent, recognize, manage, and rehabilitate injuries related to sport, exercise, or recreational activity.

Hope that helps :)