Calculating Goal Keeper Reaction Time: A Mathematical Approach

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Discussion Overview

The discussion revolves around calculating the reaction time of a goalkeeper in soccer when a ball is approaching the goal at a certain velocity and with specific dynamics, such as swing. Participants explore various mathematical approaches and considerations related to this calculation.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant suggests a method for estimating reaction time by dividing the distance from the player to the goal by the speed of the ball or puck, noting that the distance can be approximated by the shadow's travel along the ground.
  • Another participant questions the relevance of impulse force to the calculation of distance from the kicker to the goal, suggesting that data on average distances and speeds could be found online.
  • A different participant points out a distinction between measuring actual goalkeeper reaction time and calculating the time available for reaction, indicating that untrained individuals have a reaction time of approximately 0.20-0.27 seconds, while trained athletes may have a reaction time around 0.15 seconds.
  • One participant expresses a desire for a mathematical procedure specifically for determining goalkeeper reaction time.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of impulse force in calculating distance and the distinction between measuring reaction time and calculating available reaction time. The discussion remains unresolved with multiple competing perspectives.

Contextual Notes

There are limitations regarding the assumptions made about the average speed of the ball and the distances involved, as well as the definitions of reaction time versus available reaction time. These aspects are not fully explored or resolved in the discussion.

Dona123
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I want to calculate the goal keeper reaction time when ball is moving to the goal mouth in a particular velocity and swing...

Please share your valuable thoughts...
 
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Dona123 said:
I want to calculate the goal keeper reaction time when ball is moving to the goal mouth in a particular velocity and swing...

Please share your valuable thoughts...

Soccer? Hockey? Either way, as an approximation, divide the approximate distance from the player to the goal by the approximate speed of the ball/puck. In either case I would think the length of travel is well reasonably approximated by the distance its shadow travels along the ground.
 
Thanks for your reply.I was asking about soccer game.

When a soccer event like freekick, then how can we calculate the distance from the player to goal mouth, if an impulse force is acting on the soccer ball?
 
Dona123 said:
Thanks for your reply.I was asking about soccer game.

When a soccer event like freekick, then how can we calculate the distance from the player to goal mouth, if an impulse force is acting on the soccer ball?

What does the impulse force have to do with the distance from the kicker to the goal? I'm not a soccer buff, but surely you can look up data on the distance between the kicker and the goal and the average speed generated by a kicker. Try Google.
 
Unless I am missing something you are not looking for a goalkeeper reaction time - this can be measured, and is around 0.20-0.27 sec for untrained people, down to about 0.15 sec for trained sportsmen. What you are looking is a time goalkeeper HAS for the reaction. Subtle, but important difference.
 
Thanks for your reply...i'm looking for a mathematical procedure for finding the goal reaction time.
 

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