How Do Boolean Functions Influence Air Hockey Shot Angles?

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The discussion focuses on the physics of air hockey, particularly regarding scoring and shot angles. Key points include the balance of forces acting on the puck, which floats due to the upward force of air and its weight. The conversation also delves into mathematical modeling, including the puck's position over time, motion vectors after collisions with walls and paddles, and boolean functions for collision detection. There is confusion about how boolean functions relate to shot angles and scoring dynamics. Understanding these concepts is essential for analyzing air hockey gameplay effectively.
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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.
 
comparing a flat solar panel of area 2π r² and a hemisphere of the same area, the hemispherical solar panel would only occupy the area π r² of while the flat panel would occupy an entire 2π r² of land. wouldn't the hemispherical version have the same area of panel exposed to the sun, occupy less land space and can therefore increase the number of panels one land can have fitted? this would increase the power output proportionally as well. when I searched it up I wasn't satisfied with...
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