Long Jump Distance Calculator

Long Jump Distance Prediction uses the relationship between sprint speed, vertical jump ability, and takeoff angle to estimate potential long jump performance.

The Core Physics: A long jump is essentially a projectile motion problem. The distance depends on:

• Takeoff velocity (largely determined by sprint speed)
• Takeoff angle (optimal is around 20 to 22 degrees for elite jumpers)
• Takeoff height (how high the center of mass is at takeoff)

The Projectile Formula: Range = (v² × sin(2θ)) / g

Where v is takeoff velocity, θ is takeoff angle, and g is gravity (9.81 m/s²).

What this calculator actually does

A long jump is three distances added together, and treating it as one number is where most estimates go wrong:

1. Takeoff distance, roughly 0.35 m, from the board to where your centre of mass sits at takeoff
2. Flight distance, the projectile part, which is where the physics lives
3. Landing distance, from your centre of mass at touchdown to where your heels actually strike the sand. A good jumper extends the legs and gains most of a metre here; a novice lands underneath themselves and gains very little

For the flight phase the calculator estimates your two takeoff velocity components:

• Horizontal: approach speed, taken as about 1.06 times your average 100 m speed because a run-up is done at near-maximum velocity rather than at your race average. About 15% of that is lost at the board converting forward motion into lift, so the horizontal takeoff velocity is roughly 0.85 of the approach.
• Vertical: derived from your vertical jump using v = √(2gh), then reduced to 85%. A long-jump takeoff lasts around 0.12 seconds, far less than a standing vertical, so you cannot express all of that power.

Flight time comes from those two plus the fact that your centre of mass starts about 0.40 m higher than it finishes:

t = (vy + √(vy² + 2gh)) / g, and flight = vx × t

Sprint speed is by far the strongest predictor. Research on competitive jumpers puts approach velocity at roughly 70 to 85 percent of the variance in distance, which is why a fast sprinter with a mediocre vertical still out-jumps a springy athlete who cannot run.

World-Class Benchmarks: Mike Powell set the world record of 8.95 meters (29 feet 4.4 inches) in Tokyo, Japan in 1991. His approach speed was estimated at approximately 11 m/s. For women, Galina Chistyakova holds the record at 7.52 meters (24 feet 8 inches), set in 1988 in Leningrad, Soviet Union.

Vertical Jump Contribution: Vertical jump height indicates leg power and reactive strength. Elite long jumpers typically have vertical jumps of 70 to 85 cm (28 to 33 inches). A higher vertical jump correlates with better takeoff power.

Practical Use: Coaches use this calculator to identify athletes with long jump potential based on their existing sprint and jump tests. If your predicted distance is significantly higher than your actual jump, there may be room to improve your technique.