I'm interested in the time it takes for a cheetah to reach maximum velocity as well as the acceleration over time that's typical of a cheetah prior to attaining this peak velocity.
According to a recent paper published on Nature, cheetahs can reach a top speed of 29ms-1 and very impressive accelerations, up to 100ms-2:
The mean top speed was 14.9 +- 3.4ms-1 and was usually only sustained for 1–2 s. The highest speed we recorded was a stride-averaged 25.9-1
Also impressive are the lateral accelerations:
Hunts involved considerable manoeuvring, with maximum lateral (centripetal) accelerations often exceeding 13ms-2
Here is the acceleration and speed chart:
The paper has several other charts: Locomotion dynamics of hunting in wildcheetahs