Apparatus and instruments for measuring, monitoring, and analyzing human movement and the movement of weight training devices, including but not limited to barbells, dumbbells, medicine balls, resistance bands, weight machines, and cable machines for sports and training purposes; namely, accelerometers, velocity sensors, encoders, and monitoring instruments for capturing, displaying, and analyzing kinematic and kinetic parameters of movement, namely, velocity, distance, position, orientation, angle, power, and force; sports training apparatus comprising electronic sensors and recorded or downloadable software for monitoring, capturing, analyzing, and displaying data relating to muscle contractions and velocity of movements, particularly during weightlifting and other sports exercises; downloadable and recorded software in the nature of mobile applications for measuring, analyzing, and displaying velocity and other kinematic and kinetic parameters of human movement during sports and training.