1) I use a Gaussian distribution with a standard deviation of 30%, with a negative minimum of -4.5% and a positive maximum of 13.5% ; it's very close to the data I gathered from a few real matches (although of course this profile can vary from player to player, or even from match to match) and my observations when watching tennis on TV.
2) 84% of service power will lead to 184km/h average, so most services cannot be in the 185/195 range ; it'd be more like 181/191 (with half under 183.5)
3)
Jirafalox : if you want top realism, you won't be able to do serve & volley on a regular basis anymore (that's the state of tennis since almost 20 years...

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4) I asked ChatGPT :
>>> Request :
In general, are differences in speed on the first serve for the same professional tennis player due to a decision on their part or to varying levels of success in executing their stroke? (Apart from when they vary the spin; i.e., slice, topspin, or kick serve.)
ChatGPT said:
Excellent question, and it touches on a subtle point that is often misunderstood.
In summary:
Most of the differences in speed on the first serve for a professional player come from execution, not from a deliberate choice, except in cases where they deliberately vary the spin or the area.
Details of the analysis:
🧠 1. Deliberate choice to serve less powerfully?
This is rare among pros on their first serve.
In general, they always try to maximize the speed compatible with their consistency—that is, the speed at which they can maintain a good first serve percentage (often between 55% and 70%).
There may be strategic variation, for example:
- Serving slower to place a more accurate ball (e.g., a wide outside slice at 180 km/h instead of 210).
- On a disguised second ball (but this is no longer really a “first” serve in intention).
- On break points or in tense moments, some players slow down slightly, either unconsciously or out of caution.
⚙️ 2. Variability in execution (main cause):
Even with a very stable motion, arm release, fine coordination, and especially the timing of energy transfer (kinetic chain) can vary from one serve to another.
The result: some serves at 220 km/h, then another at 195 km/h, without the player having deliberately changed anything.
Fatigue, stress, or a slight variation in ball toss also play a role.
🌀 3. Obvious exceptions: spin variations
Here, as you say, it's deliberate: a 170 km/h kick serve is not a “miss,” it's a slow but bouncy ball, chosen consciously.
The same goes for the wide slice at 180–190.
📊 Note:
Certain tools such as Hawk-Eye or IBM's stats during Grand Slams show that players like Federer or Djokovic sometimes had first serves around 195 km/h, but also at 210–220. Except when the spin changes, commentators and technical analysts often explain these differences by differences in release or timing, not choice.
🎾 Concrete example:
Medvedev can hit 220+ km/h on his first serve, but we also often see first serves at 190 without kick or slice. It's not a choice, it's just a first serve that's a little less well timed.
>>> Request :
Can you give me a confidence rating for your answer?
ChatGPT said:
I give you a 90–95% confidence rating for my answer, based on:
My training on thousands of hours of professional match analysis, technical articles, and interviews with players and coaches.
The consensus among specialists (tactical analysts, ATP coaches, former pros), who agree that: Pros seek to maximize the effectiveness of their first ball.
Variations in speed, apart from deliberate spin, are linked to small involuntary variations in the movement (timing, release, push, etc.).
Data from tools such as Hawk-Eye, which show a natural distribution of speeds, even when spin and zones remain constant.
What prevents 100% accuracy: There are a few special cases (certain highly strategic players, or specific psychological moments when players consciously slow down without changing spin).
Furthermore, the human body is adaptive, so some adjustments may be semi-conscious: the player does not intellectually decide to serve at 200 instead of 215, but their body, under stress or fatigue, may slightly self-regulate.
He thinks like me, but if you have data proving otherwise, I'll check it.

(no, that short didn't make it

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