骑手类型

τ值

速度、功率曲线

男攀登者

0.6696

$v=\{\begin{array}{l}15\left(1-{\text{e}}^{-\frac{t}{0.6696}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 15\left(1-{\text{e}}^{-26.88}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\\ \sqrt{\left[225{\left(1-{\text{e}}^{-26.88}\right)}^2-421.848\right]{\text{e}}^{-\frac{2\left(t-t_2\right)}{0.6696}}+421.848},\begin{array}{c}\end{array}{t}_2\le t\le t_3\end{array}$

$P=\{\begin{array}{l}336\left(1-{\text{e}}^{-\frac{t}{0.6696}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 336\left(1-{\text{e}}^{-26.88}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\end{array}$

女攀登者

0.4545

$v=\{\begin{array}{l}10\left(1-{\text{e}}^{-\frac{t}{0.4545}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 10\left(1-{\text{e}}^{-39.6}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\\ \sqrt{\left[100{\left(1-{\text{e}}^{-39.6}\right)}^2-286.335\right]{\text{e}}^{-\frac{2\left(t-t_2\right)}{0.4545}}+286.335},\begin{array}{c}\end{array}{t}_2\le t\le t_3\end{array}$

$P=\{\begin{array}{l}220\left(1-{\text{e}}^{-\frac{t}{0.4545}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 220\left(1-{\text{e}}^{-39.6}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\end{array}$

男短跑运动员

0.9524

$v=\{\begin{array}{l}18\left(1-{\text{e}}^{-\frac{t}{0.9524}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 18\left(1-{\text{e}}^{-19}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\\ \sqrt{\left[324{\left(1-{\text{e}}^{-19}\right)}^2-600.012\right]{\text{e}}^{-\frac{2\left(t-t_2\right)}{0.9524}}+600.012},\begin{array}{c}\end{array}{t}_2\le t\le t_3\end{array}$

$P=\{\begin{array}{l}340\left(1-{\text{e}}^{-\frac{t}{0.9524}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 340\left(1-{\text{e}}^{-19}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\end{array}$

女短跑运动员

0.6250

$v=\{\begin{array}{l}12\left(1-{\text{e}}^{-\frac{t}{0.625}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 12\left(1-{\text{e}}^{-28.8}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\\ \sqrt{\left[144{\left(1-{\text{e}}^{-28.8}\right)}^2-393.75\right]{\text{e}}^{-\frac{2\left(t-t_2\right)}{0.625}}+393.75},\begin{array}{c}\end{array}{t}_2\le t\le t_3\end{array}$

$P=\{\begin{array}{l}230\left(1-{\text{e}}^{-\frac{t}{0.625}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 230\left(1-{\text{e}}^{-28.8}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\end{array}$

男拳击运动员

1.0215

$v=\{\begin{array}{l}19\left(1-{\text{e}}^{-\frac{t}{1.0215}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 19\left(1-{\text{e}}^{-17.62}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\\ \sqrt{\left[361{\left(1-{\text{e}}^{-17.62}\right)}^2-643.545\right]{\text{e}}^{-\frac{2\left(t-t_2\right)}{1.0215}}+643.545},\begin{array}{c}\end{array}{t}_2\le t\le t_3\end{array}$

$P=\{\begin{array}{l}353\left(1-{\text{e}}^{-\frac{t}{1.0215}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 353\left(1-{\text{e}}^{-17.62}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\end{array}$

女拳击运动员

0.8187

$v=\{\begin{array}{l}14\left(1-{\text{e}}^{-\frac{t}{0.8187}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 14\left(1-{\text{e}}^{-21.99}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\\ \sqrt{\left[196{\left(1-{\text{e}}^{-21.99}\right)}^2-515.781\right]{\text{e}}^{-\frac{2\left(t-t_2\right)}{0.8187}}+515.781},\begin{array}{c}\end{array}{t}_2\le t\le t_3\end{array}$

$P=\{\begin{array}{l}239\left(1-{\text{e}}^{-\frac{t}{0.8187}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 239\left(1-{\text{e}}^{-21.99}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\end{array}$

男轮滑运动员

1.0929

$v=\{\begin{array}{l}20\left(1-{\text{e}}^{-\frac{t}{1.0929}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 20\left(1-{\text{e}}^{-16.47}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\\ \sqrt{\left[400{\left(1-{\text{e}}^{-16.47}\right)}^2-688.527\right]{\text{e}}^{-\frac{2\left(t-t_2\right)}{1.0929}}+688.527},\begin{array}{c}\end{array}{t}_2\le t\le t_3\end{array}$

$P=\{\begin{array}{l}365\left(1-{\text{e}}^{-\frac{t}{1.0929}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 365\left(1-{\text{e}}^{-16.47}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\end{array}$

女轮滑运动员

0.9202

$v=\{\begin{array}{l}15\left(1-{\text{e}}^{-\frac{t}{0.9202}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 15\left(1-{\text{e}}^{-19.56}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\\ \sqrt{\left[225{\left(1-{\text{e}}^{-19.56}\right)}^2-579.726\right]{\text{e}}^{-\frac{2\left(t-t_2\right)}{0.9202}}+579.726},\begin{array}{c}\end{array}{t}_2\le t\le t_3\end{array}$

$P=\{\begin{array}{l}245\left(1-{\text{e}}^{-\frac{t}{0.9202}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 245\left(1-{\text{e}}^{-19.56}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\end{array}$

男计时赛专家

1.3095

$v=\{\begin{array}{l}22\left(1-{\text{e}}^{-\frac{t}{1.3095}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 22\left(1-{\text{e}}^{-13.75}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\\ \sqrt{\left[484{\left(1-{\text{e}}^{-13.75}\right)}^2-824.985\right]{\text{e}}^{-\frac{2\left(t-t_2\right)}{1.3095}}+824.985},\begin{array}{c}\end{array}{t}_2\le t\le t_3\end{array}$

$P=\{\begin{array}{l}370\left(1-{\text{e}}^{-\frac{t}{1.3095}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 370\left(1-{\text{e}}^{-13.75}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\end{array}$

女计时赛专家

0.9816

$v=\{\begin{array}{l}16\left(1-{\text{e}}^{-\frac{t}{0.9816}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 16\left(1-{\text{e}}^{-18.34}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\\ \sqrt{\left[256{\left(1-{\text{e}}^{-18.34}\right)}^2-618.408\right]{\text{e}}^{-\frac{2\left(t-t_2\right)}{0.9816}}+618.408},\begin{array}{c}\end{array}{t}_2\le t\le t_3\end{array}$

$P=\{\begin{array}{l}260\left(1-{\text{e}}^{-\frac{t}{0.9816}}\right),\begin{array}{c}\end{array}0\le t\le t_1\\ 260\left(1-{\text{e}}^{-18.34}\right),\begin{array}{c}\end{array}{t}_1\le t\le t_2\end{array}$