How Do Boolean Functions Influence Air Hockey Shot Angles?

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Discussion Overview

The discussion revolves around the physics of air hockey, specifically focusing on scoring mechanics and the influence of Boolean functions on shot angles. Participants explore various aspects of the game's physics, including puck motion, collision dynamics, and scoring strategies.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant seeks information about the physics underlying air hockey.
  • Another participant suggests that the puck's floating behavior is due to the balance between its weight and the upward force from the air.
  • A different participant expresses interest in the physics of scoring, mentioning various shot types, including a swing shot or curved shot.
  • A participant proposes a mathematical framework for modeling puck motion and collisions, including equations for puck position, motion vectors after wall and paddle collisions, and Boolean functions for collision detection.
  • One participant questions how Boolean functions can influence the nature of the shot and expresses uncertainty about their role in determining the puck's angle upon wall collision.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the role of Boolean functions in determining shot angles, with some expressing skepticism about their influence while others propose their use in modeling collisions.

Contextual Notes

The discussion includes assumptions about the puck's motion and the nature of collisions, but these assumptions are not fully explored or defined. The mathematical framework proposed is not resolved, and the implications of Boolean functions remain unclear.

Who May Find This Useful

Individuals interested in the physics of games, mathematical modeling of motion, and collision dynamics may find this discussion relevant.

MathematicalPhysicist
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where can i find information about the physics of air hockey?
 
Physics news on Phys.org
i don't know any sites about it, but its pretty simple i think.

the puck floats at the height at which its weight and the force exerted by the rising air are equal and opposite.
 
i more want to know the physics of scoring in air hockey.
all the ways of scoring, types of shots swing shot (which i think is also called curved shot).
 
Suppose that the puck has center x,y and radius r and is moving along vector v, and suppose that the boundary (walls) of the playing field is given by a rectangle (x1,y1,x2,y2) with goals occupying the middle third of each end of the field. Given the above assuptions, write equations (and then procedures) for the following.
1 ) The position of the puck after time t has elapsed, assuming it has not hit anything.
2 ) The new motion vector for the puck after it hits a wall. (Walls are perfectly straight, so they are perfect reflectors.)
3 ) The new motion vector for the puck after it hits a paddle with center px,py and radius pr.
4 ) A boolean function that determines whether or not the puck has collided with a wall.
5 ) A boolean function that determines whether or not the puck has entered the goal.
6 ) A boolean function that determines whether or not the puck has collided with a paddle.
 
i don't see how the boolean functions determine the nature of the shot.
i can't see how how boolean functions can determine the angle of the puck on the wall.
 

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