Speed vs Distance — Bi-Exponential Sprint Model
Model:
v(t)=A(1−e
−λt
)+B(1−e
μt
)
with
A=9.20 m/s
,
B=0.025 m/s
fixed.
100 m: —
v
max
: —
v
endu
: —
λ (1/s) — acceleration rate
1.85 1/s
μ (1/s) — fatigue rate
0.31 1/s
Top velocity (km/h)
32.9 km/h
Top velocity rescales the curve so the peak matches your chosen value. Shape is set by λ and μ; A and B stay fixed at the values above.