Simulation of a sprinter. Part I. Development of a model

Area of Science:

• Biomechanics
• Sports Science
• Physics of Human Motion

Background:

• Sprinter motion is influenced by forward ground reaction forces and backward air resistance.
• Ground reaction force is maximal at the start and decreases with velocity.
• Air resistance increases with the square of velocity.

Purpose of the Study:

• To develop a mathematical model of sprinter motion.
• To analyze the impact of ground reaction and air resistance forces on sprint performance.
• To create a tool for characterizing runner performance and predicting race times.

Main Methods:

• Mathematical modeling of ground reaction and air resistance forces.
• Incorporation of force models into Newton's Second Law.
• Numerical integration of the resulting second-order nonlinear differential equation.
• Validation of the model against experimental data.

Main Results:

• A validated second-order nonlinear differential equation describing sprinter motion was derived.
• The model demonstrated good agreement between theoretical predictions and experimental data.
• The model can characterize a runner's 'sprint profile'.

Conclusions:

• The developed mathematical model accurately represents sprinter dynamics.
• The model provides insights into runner strengths and weaknesses.
• The model can predict sprint times based on maximum velocity maintenance.