---
title: "Understanding F₀ and v₀"
slug: "fv-understand-f0-v0"
updated: 2025-03-19T06:30:44Z
published: 2025-03-19T06:39:04Z
canonical: "docs.1080motion.com/fv-understand-f0-v0"
---

> ## Documentation Index
> Fetch the complete documentation index at: https://docs.1080motion.com/llms.txt
> Use this file to discover all available pages before exploring further.

# Understanding F₀ and v₀

There are multiple variables calculated from force/velocity profiling with the two main outputs being $F_0$ and $v_0$. These two, and other variables, are calculated from velocity development during a linear sprint where weight and height of the runner, air resistance and pulling force (if applicable) are included.

- **F₀ (Force Intercept):** $F_0$ represents the theoretical maximal horizontal force the athlete could produce when starting from rest (i.e., at zero velocity). This value reflects the athlete’s force-producing capability.
- **v₀ (Velocity Intercept):** $v_0$ is the theoretical maximum sprinting speed that the athlete could achieve if the force output dropped to zero. Although no athlete actually reaches $v_0$, it serves as a benchmark for their speed potential.

Together, these parameters help coaches and sport scientists evaluate whether an athlete is more force- or velocity-oriented. Example, a sprinter with a high $F_0$ but relatively lower $v_0$ might benefit from training that enhances speed mechanics, while an athlete with a high $v_0$ might focus on developing more force production during the start phase.

## Relationship between F₀, v₀ and power

The relationship between $F_0$ and $v_0$ is linear with the peak power ($P_{max}$) output at 50% of the $v_0$. ![image.png](https://cdn.document360.io/2720a32a-6d48-40c3-870e-0cf3536ac843/Images/Documentation/image%2832%29.png)

***Figure 1:** Combined F/v plot showing both force and power as a function of speed. Force and power are both adjusted for body weight.*