# vVO2max

The running velocity that is reached at V̇O_{2}max is called vV̇O_{2}max. This velocity is dependent not only on V̇O_{2}max but also on Running Economy. The time that a runner can maintain vV̇O_{2}max is called T_{max} or T_{lim} and varies between 3 and 6.5 minutes in laboratory testing, though in field tests it may be up to 8.7 minutes^{[1]}. (Note that when runners are given multiple tests, T_{lim} can vary widely^{[2]}.) In elite runners, the higher V̇O_{2}max, the lower T_{lim}^{[3]}. vV̇O_{2}max is similar to 3K pace in elite middle distance runners^{[1]}.

## 1 Simplified Testing for vV̇O_{2}max

A simplified test for vV̇O_{2}max is to Warmup, then measure how far you can run in 6 minutes. The test is normally performed on a track to allow for accurate measurement. I found no studies that evaluated the test, so its reliability is unclear.

## 2 Estimating vV̇O_{2}max from race performances

Just as V̇O_{2}max can be estimated from race performances, a similar estimation of vV̇O_{2}max is possible. The table below shows the Léger & Mercier formula noted above, along with predicted mile and 3K paces, as well as the predicted pace for a 6 minute run for various values of V̇O_{2}max. The predicted times for a 5K and marathon race are included for comparison.

V̇O_{2}max |
35 | 40 | 45 | 50 | 55 | 60 | 65 | 70 | 75 | 80 | 85 |
---|---|---|---|---|---|---|---|---|---|---|---|

5K | 26:57 | 24:05 | 21:50 | 20:00 | 18:28 | 17:10 | 16:03 | 15:05 | 14:15 | 13:32 | 12:51 |

Marathon | 4:15:51 | 3:49:27 | 3:28:10 | 3:10:33 | 2:55:49 | 2:43:08 | 2:32:29 | 2:23:04 | 2:14:53 | 2:07:31 | 2:00:58 |

Mile | 8:26 | 7:34 | 6:52 | 6:18 | 5:50 | 5:25 | 5:05 | 4:47 | 4:31 | 4:18 | 4:05 |

3K pace | 8:33 | 7:39 | 6:56 | 6:22 | 5:52 | 5:28 | 5:07 | 4:49 | 4:33 | 4:19 | 4:07 |

Léger & Mercier formula | 9:39/Mile | 8:26/Mile | 7:30/Mile | 6:45/Mile | 6:08/Mile | 5:37/Mile | 5:11/Mile | 4:49/Mile | 4:30/Mile | 4:13/Mile | 3:58/Mile |

6 minute pace | 8:24/Mile | 7:33/Mile | 6:52/Mile | 6:18/Mile | 5:50/Mile | 5:26/Mile | 5:05/Mile | 4:47/Mile | 4:32/Mile | 4:18/Mile | 4:06/Mile |

# 3 References

- ↑
^{1.0}^{1.1}LV. Billat, JP. Koralsztein, Significance of the velocity at VO2max and time to exhaustion at this velocity., Sports Med, volume 22, issue 2, pages 90-108, Aug 1996, PMID 8857705 - ↑ V. Billat, JC. Renoux, J. Pinoteau, B. Petit, JP. Koralsztein, Reproducibility of running time to exhaustion at VO2max in subelite runners., Med Sci Sports Exerc, volume 26, issue 2, pages 254-7, Feb 1994, PMID 8164545
- ↑ V. Billat, JC. Renoux, J. Pinoteau, B. Petit, JP. Koralsztein, Times to exhaustion at 100% of velocity at VO2max and modelling of the time-limit/velocity relationship in elite long-distance runners., Eur J Appl Physiol Occup Physiol, volume 69, issue 3, pages 271-3, 1994, PMID 8001542