Armand Duplantis on the runway before his 6.31 m world record
6.31 m · Uppsala · 12 March 2026

Six
Meter
Club

Fifteen world records, one centimeter at a time. This is the equation underneath it — and it works on your vault too.

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Armand Duplantis · 6.31 m world record · Uppsala, 12 March 2026 · video used with permission

The equation

How the model predicts your vault

Height you clear (the bar the calculator says you can get over) =
Top-Hand Height (how high your top hand is: pole length minus how far you grip down) you can train this
+
Run Turned Into Lift (the part of your run speed the pole hands back to you as height) you can train this
−
Pole Shortening (height lost while the pole is bent and shorter than when straight) you can train this
−
Hands-to-Hips Drop (your hips sit below your top hand; a taller body hangs slightly lower) fixed
+
Getting Over the Bar (how much bar your body shape clears; a tighter jack-knife clears more) you can train this
+
Jump Off the Ground (extra lift from jumping up at take-off instead of just running in) you can train this
+
Pole Angle Bonus (a steeper pole at take-off helps; taller athletes get a steeper pole) fixed
−
Over-Bend Penalty (height lost if the pole bends past 20%: a sign it's too soft for you) you can train this
+
Small Correction (a fixed 6 cm that lines the model up with real vaults) fixed

Every piece is a height in metres or feet. Add them up and you get the bar you can clear.

What’s inside “Run speed (when you don't enter a PR)”
v = √( 2g · (G − 0.66 · h_ref − δ) / γ )
Your Grip (a higher grip means you must be running faster to hold it) you can train this
Reference Height (a 5'11" athlete, so changing your height never changes your speed) fixed
Level (how efficiently your level turns speed into grip, from coaching data) you can train this
What’s inside “Pole shortening”
c = v · √( β · m / k ), k = K₁ · (L − 0.61)³ / (F · G³)
Run Speed (faster runs bend the pole more) you can train this
Body Weight (heavier vaulters bend the same pole more) fixed
Pole Stiffness (a stiffer, shorter-gripped pole bends less; comes from length, flex and grip) you can train this
Flex Number (how far the pole droops in the flex test; from its weight rating) fixed
How Hard You Load It (beginners barely bend the pole; experienced vaulters drive into it) you can train this
H = G + η·v²/2g − c − μ·h_ref − μ₂·(h − h_ref) + (h/6)·cos(θ/2) + (κ·v·sin φ)²/2g + A·(α − 28.25°) − P·max(0, b − 0.20) + B₀
Your ceilingSolid
Model says you can clear
—
—
Grip height—top hand off the ground
Push over grip—above your top hand
Pole bend—of your grip height
Pole angle—at take-off
Your run speed—m/s at the plant
Check
Your pole & you

Where this model is actually tested

4.70 m to 6.31 m — six real vaults, 5.9 cm RMS. Two World Championship cohorts, the Olympic final mean, a WC winner, Duplantis, and one measured club vault. Every one has a real measured run speed and a real grip height, and the worst row is 10.5 cm out.

The 6.31 is a clean out-of-sample hit. Fed the real specs behind it — 10.3 m/s, a 5.20 m pole, flex 10–11, top hand 6" down — the equation returns 6.33 to 6.35 m. It also says that vault needed 10.19 m/s, against a reported 10.3. Both are inside 1%, on a jump it was never fitted to.

Below 4.70 m it is extrapolating. No published dataset gives run speed and grip height for developing vaulters, so nothing down there is calibrated — it is the same equation run downward and sanity-checked against the poles coaches actually hand people. Treat it as a starting point, and use the PR field above to pin it to a jump you have really made.

Where a 6.31 m vault actually comes from

The world record, term by term, on a strict energy budget — nothing here exceeds 100% of the run. Duplantis hit the plant at 10.3 m/s on a 5.20 m pole.

PhaseTermMetresRunning
ApproachRun energy, v²/2g at 10.3 m/s+5.4075.407
ApproachStanding centre of mass, 0.66h+1.2216.628
PlantCollision loss — the box is steel−1.1715.457
PlantPlant-arm compliance−0.0365.421
BendDrive into the bend+0.1505.571
BendSwing and rock-back+0.1565.727
ExtendTop-arm push-off+0.3456.072
ClearTurn over the bar+0.2886.360
ClearSpeed carried over−0.0506.310

The pole is a spring. You are not a sandbag.

Most vault models treat the athlete as a mass hanging off a spring. But you inject work in three places, and you leak it in one — and the difference between doing that well and badly is worth more than any pole on the rack. These are estimated from torque-through-angle and limb stiffness, then checked against published whole-vault energy audits.

Where the energy movesEliteMechanism
Top-arm push-off+0.35 m0.7–1.0 bodyweight through ~0.45 m of extension
Swing and rock-back+0.16 mhip torque 250–350 N·m through ~2.3 rad
Drive into the bend+0.15 mpressing the pole while it loads
Total work in+0.65 m504 ± 19 J — 14% of the run's kinetic energy
Plant-arm compliance, braced−0.04 marm stiffness ~27 kN/m, 9 cm of travel
Plant-arm compliance, collapsing−0.18 marm stiffness ~12 kN/m, 21 cm of travel
0.59 m

Beginner to elite

The full swing of work-in minus arm-leak. Bigger than the free take-off, second only to run speed — and unlike speed, all of it is trainable in the weight room and on the rings.

0.146 m

Your top arm alone

Braced versus collapsing, with 80% confidence between 0.11 and 0.19 m. The arm stores 120–260 J at the plant and hands back only part of it.

53%

Is the push-off

Of all the work you put in, over half is the last thing you do — the top-arm extension as the pole straightens. The swing is only a quarter of it.

Tall vaulters aren't stronger. They're better aimed.

Height barely helps you through energy — a higher centre of mass is almost exactly cancelled by hanging further below your own hands. The real effect is geometric: a taller vaulter's top hand is higher at take-off, so the pole stands up more. Less shock into the box, cleaner transfer, and a much higher grip available at the same angle.

Your heightGrip ceiling at 30°at 28°at 26°
5' 3" (1.60 m)4.27 m4.55 m4.87 m
5' 7" (1.70 m)4.51 m4.81 m5.15 m
5' 11" (1.80 m)4.76 m5.07 m5.42 m
6' 3" (1.90 m)5.00 m5.32 m5.70 m
6' 7" (2.00 m)5.24 m5.58 m5.98 m
r = 0.75

Stature → pole angle

Across all 15 finalists at a World Championship, taller vaulters planted with the pole standing up more. Take-off distance was uncorrelated with height — so it really is just the higher hand.

0.90 m

Of grip ceiling

At a fixed 28° pole angle, that's the gap between a 5'3" and a 6'7" vaulter — seven times bigger than the direct energy effect of being tall.

The trade

You can flatten it

A shorter vaulter can drop the pole angle to reach the same grip — but every degree given up costs energy into the box. That's the real ceiling, and why tall vaulters end up on bigger sticks.

⚠ Read this before you change poles

Never vault on a pole rated below your body weight. This tool floors every recommendation at bodyweight plus 5 lb, but the rack doesn't know that — check the number printed on the pole yourself, every time.

Move one pole at a time, with a coach watching, on a full runway with a proper pit. Flex numbers aren't comparable between manufacturers, so a 17.0 from one brand isn't a 17.0 from another. A website is a starting point for a conversation with your coach, not a reason to grip four inches higher at the next meet.