Velocity vector of cue ball

In summary, the velocity vector of a cue ball refers to the speed and direction at which the cue ball is traveling and can be calculated using the formula velocity = distance/time. Several factors can affect the velocity vector, including force, angle, friction, and spin. It is important in billiards as it determines the path and speed of the cue ball, and can change during a game due to various factors. Skilled players must constantly adjust for these changes in order to make successful shots.
  • #1

Homework Statement


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I need to find the velocity vector of the cue ball. I know the start-coordinates, end-coordinates(when it hits the red ball), and the time it takes for the travel, but i have no clue on how to make the vector.
start(21, 0)
end(21, 12)
time = 0.1seconds
not sure if nessecary, but both of the balls diameters are 5.715cm

I need the velocity vector to calculate the end-coordinates of the red ball.

help is much appreciated :)
 
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  • #2
You only need the com velocity.
Start with the definition: displacement over time.
Can you draw the displacement vector?
 

1. What is the velocity vector of a cue ball?

The velocity vector of a cue ball refers to the speed and direction at which the cue ball is traveling. It is a vector quantity, meaning it has both magnitude (speed) and direction, and is often represented by an arrow pointing in the direction of motion.

2. How is the velocity vector of a cue ball calculated?

The velocity vector of a cue ball can be calculated using the formula velocity = distance/time. This involves measuring the distance the cue ball travels in a given time period and dividing it by the time taken. The result will give the magnitude and direction of the velocity vector.

3. What factors can affect the velocity vector of a cue ball?

There are several factors that can affect the velocity vector of a cue ball, including the force applied by the cue stick, the angle at which the cue stick strikes the cue ball, the friction and condition of the table surface, and any spin or English applied to the cue ball.

4. Why is the velocity vector of a cue ball important in billiards?

The velocity vector of a cue ball is important in billiards because it determines the path and speed at which the cue ball will travel after being struck. This is crucial for players to accurately aim and make shots, as well as to predict and plan for future shots during a game.

5. Can the velocity vector of a cue ball change during a game?

Yes, the velocity vector of a cue ball can change during a game, as it is affected by various factors such as collisions with other balls, friction on the table surface, and any spin or English applied. This is why skilled players must constantly adjust and account for these changes in order to make successful shots.

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