# vVO2max

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The running velocity that is reached at V̇O2max is called vV̇O2max. This velocity is dependent not only on V̇O2max but also on Running Economy. The time that a runner can maintain vV̇O2max is called Tmax or Tlim 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, Tlim can vary widely[2].) In elite runners, the higher V̇O2max, the lower Tlim[3]. vV̇O2max is similar to 3K pace in elite middle distance runners[1].

## 1 Simplified Testing for vV̇O2max

A simplified test for vV̇O2max 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 vV̇O2max from race performances

Just as V̇O2max can be estimated from race performances, a similar estimation of vV̇O2max 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 V̇O2max. The predicted times for a 5K and marathon race are included for comparison.

V̇O2max 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. 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
2. 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
3. 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