One-Dimensional Mathematical Model for Kayak Propulsion

The displacement of a sprint kayak can be described by one-dimensional mathematical model, which, in its simplest case, is analogous to the free-fall problem with quadratic drag and constant propulsion. To describe realistic cases, it necessary introduce propulsion capable reproducing characteristics stroke, including periodicity, average force effects stroke frequency, among others. Addressing terms Fourier series allows us separate equation into two parts, one which equivalent case results an asymptotic expression, while second accounts for periodic contributions. This approach solve several cases interest: propose quadrature rule part that fast estimations; compare literature; finally general method this could help understand some key strategies race.