Mathematical analysis of function and mechanism of run-up and take-off in the long jump

Based on the analysis of the mechanism of run-up take-off in the long jump, this paper tells that run-up take-off in the long jump is embodied through run-up inertia function, run-jump function and jump in-situ function o Some quantification treatments are made to the three functions through specific experimental methods to find the proportion of the three functions in the long jump. In addition, the paper also offers the thought of removing the run-up inertia function after the take-off, so as to make a better comparative study with deep jump or other events, and provides a new research approach for long jump.