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The baton exchange during the 4 x 100 m relay: a mathematical analysis
1Department of Sport Sciences, Brunel University, Uxbridge, Middlesex UB8 3PH, UK. peter.radford@brunel.ac.uk
Journal of Sports Sciences
|July 9, 2003
Summary
Optimizing baton exchanges in the 4x100m relay requires precise checkmark positioning for each exchange. Mathematical analysis reveals these positions vary by lane and exchange, crucial for avoiding disqualifications.
Area of Science:
- Sports Science
- Athletics Biomechanics
Background:
- The 4x100m relay involves three critical baton exchanges.
- Optimal baton exchange technique is vital for elite performance and avoiding disqualifications.
Purpose of the Study:
- To mathematically analyze the optimal checkmark positions for each baton exchange in a 4x100m relay.
- To demonstrate the complexity of the baton exchange process and its impact on race outcomes.
Main Methods:
- Mathematical analysis of three baton exchanges in a 4x100m relay.
- Assumption of identical 100m performances for four elite male athletes.
- Calculation of optimal checkmark and athlete starting positions based on prior research.
Main Results:
- Optimal checkmark positions differ for each of the three exchanges within a single race.
- Checkmark position is influenced by lane draw and free distance.
- For a 1m free distance, checkmark distances range from 11.04m (Lane 1, 3rd exchange) to 12.20m (Lane 8, 1st exchange).
Conclusions:
- Failure to account for the complexities of baton exchanges contributes to high disqualification rates (25.5%) in major championships.
- Precise, individualized checkmark positioning is essential for successful 4x100m relay execution.