Sprint Speed & Acceleration Calculator
Calculate average speed, peak speed, acceleration, and power-to-weight metrics from sprint distance and time inputs.
Formulas Used
Average Speed:
v̄ = d ÷ t (m/s)
Acceleration from Rest (split phase):
Using kinematics with v₀ = 0:
d‑split = ½ · a · t‑split² ⇒ a = 2 · d‑split ÷ t‑split² (m/s²)
Estimated Peak Speed at End of Split:
v‑peak = a · t‑split (m/s)
Kinetic Energy:
KE = ½ · m · v̄² (Joules)
Average Mechanical Power:
P̄ = KE ÷ t = (½ · m · v̄²) ÷ t (Watts)
Propulsive Force (acceleration phase):
F = m · a (Newtons, Newton’s 2nd Law)
Peak Power (acceleration phase):
P‑peak = F · v‑split = m · a · v‑split (Watts)
Assumptions & References
- Athlete starts from a stationary position (v₀ = 0 m/s) for acceleration calculations.
- Acceleration is assumed uniform (constant) during the split phase; real sprints exhibit non-linear acceleration profiles.
- Air resistance, wind, and surface friction are not modelled; results represent idealized mechanical values.
- Split-phase speed is the average over that segment, not instantaneous peak speed.
- Power calculations use translational kinetic energy only; rotational energy of limbs is excluded.
- Kinematics reference: d = v₀t + ½at² (Newtonian mechanics).
- Power-to-weight benchmarks: elite male sprinters typically achieve 25–35 W/kg peak; recreational athletes 10–18 W/kg.
- Reference: Morin, J-B. & Samozino, P. (2016). Interpreting Power-Force-Velocity Profiles for Individualized and Specific Training. International Journal of Sports Physiology and Performance.
- Reference: Haugen, T. et al. (2019). Sprint mechanical properties in elite athletes. Journal of Sports Sciences.