Athletics AI
Technique

The Optimal Long Jump Takeoff Angle Is Not 45 Degrees. Here's the Real Number.

By Jelle Heijne ·

Ask any physics teacher what the best angle is to throw something as far as possible, and they will say 45 degrees. Ask a long jumper what their takeoff angle is at the board, and they will say something between 18 and 22 degrees. Both are correct. Long jump is just not the problem physics class thinks it is.

If you have ever measured your own takeoff angle and been disappointed to see it sit around 20, this post is why you should be relieved instead. The elite ceiling is not that far above you.

The 45-degree answer is right for a cannonball

For a projectile in a vacuum, launched from and landing at the same height, 45 degrees is optimal. The math is clean. Any deviation from 45 loses distance because you are trading horizontal velocity for vertical velocity, or the reverse, in a symmetric way. At 45 you split them perfectly.

That model works for a cannonball. It falls apart the moment the object doing the launching has to generate the launch velocity from its own moving body.

Why long jump breaks the projectile model

Three things separate a long jumper from a cannonball.

First, you cannot pick your horizontal velocity and your vertical velocity independently. To generate more vertical, you have to slow down horizontally. The takeoff foot spends longer on the ground, the knee blocks harder, the direction of the ground reaction force tilts backward. All of it costs you speed.

Second, horizontal velocity matters more per unit than vertical velocity does. This is not intuitive but the math is unforgiving. Approach speed accounts for roughly 90 percent of the distance you jump. Add half a meter per second to your approach and your jump goes further. Add the same to your vertical takeoff and it goes further by less.

Third, you do not land where you launch. You land in a pit that sits below your center of mass at takeoff, and the rules score the position of your heels, not your center of mass. The projectile model does not account for either.

Put these three things together and the optimal angle drops. Way down.

The real number: 18 to 22 degrees

Biomechanics research on world-class long jumpers, going back to Ramey and Hay in the 1970s and 1980s and confirmed by more recent motion-capture studies, puts the observed takeoff angle for elite men at 18 to 22 degrees. Women tend to sit a degree or two higher on average, partly because their run-up speed is lower and the trade-off works out slightly differently.

For reference:

  • Bob Beamon’s 8.90m in Mexico City (1968) is estimated at around 24 degrees, on the high end and helped by altitude.
  • Mike Powell’s 8.95m world record (1991) came off a takeoff angle around 22 degrees.
  • Modern top-tier jumpers like Miltiadis Tentoglou consistently sit near 20.

If you are a club-level jumper and your takeoff angle is 24 to 28 degrees, you are jumping too high. If you are at 15 or lower, you are barely taking off. The sweet spot is narrower than most people think.

How to measure your own takeoff angle

You need three things. A camera set perpendicular to the runway, roughly at hip height, recording at 120fps or higher (any recent iPhone does this). The frame where your takeoff foot leaves the board. The frame where your center of mass is at its highest point in the flight.

Draw a line from your takeoff foot to your center of mass at peak. Measure the angle from the ground. That is your takeoff angle.

If manually tracing frames sounds like a pain, it is. Which is why we built a long jump technique analyzer that does exactly this from a phone video. But you can absolutely do it yourself in a video editor if you have half an hour and a protractor overlay.

What to do if yours is too steep

Steep takeoff angles almost always mean you are slowing down too much into the board. The fix is not to jump lower. It is to keep more of your approach speed all the way through the takeoff.

Two practical starting points:

Run through the board a few times without jumping. If your last three steps feel like they need to be different from steps four through eight, your approach is not settled. See our guide on rebuilding your run-up so you stop fouling.

Do standing takeoffs with a partner counting your ground contact time. Anything over 130 milliseconds is a red flag. Elite jumpers spend 110 to 130 milliseconds on the board. Longer contact means more vertical and more angle, but also more energy lost.

What to do if yours is too shallow

Shallow takeoff angles usually mean either your penultimate step is not lowering your center of mass, or your takeoff leg is collapsing under load. You cannot punch upward if you are not loading downward first.

A common drill is the two-step approach with an exaggerated penultimate step. A coach lays down a marker for the second-to-last foot strike. You practice hitting it slightly flatter and longer than feels natural, then springing off the takeoff foot. The angle usually comes back up within a couple of sessions. There are seven more drills worth knowing about in our long jump drills guide.

The takeaway

The optimal long jump takeoff angle is not 45 degrees. It is not even close. Somewhere between 18 and 22 is where you want to live, and getting there is less about jumping higher and more about protecting your approach speed. If you are already in that range, work on the horizontal side of the equation. If you are outside it in either direction, the fix is technical and usually visible in a single video.


More from the Journal