Calculating Velocity Vector for Cue Ball Collision

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SUMMARY

The discussion focuses on calculating the velocity vector of a cue ball in a collision scenario. Given the start coordinates (21, 0) and end coordinates (21, 12) with a travel time of 0.1 seconds, the velocity vector can be determined using the formula for velocity: displacement divided by time. The displacement vector, which is the difference between the end and start coordinates, is (0, 12). Thus, the velocity vector is (0, 120) when expressed in cm/s, accounting for the time factor.

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  • Understanding of basic physics concepts, specifically velocity and displacement.
  • Familiarity with vector mathematics and coordinate systems.
  • Knowledge of the formula for calculating velocity (displacement/time).
  • Basic skills in drawing vectors for visual representation.
NEXT STEPS
  • Research vector representation in physics, focusing on displacement vectors.
  • Learn about collision physics and how to calculate outcomes post-collision.
  • Explore graphical methods for visualizing vectors and their components.
  • Study the effects of ball diameter on collision dynamics in billiards.
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Students studying physics, particularly those focusing on mechanics and vector analysis, as well as anyone involved in billiards or similar sports physics applications.

Magnus Jahn
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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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You only need the com velocity.
Start with the definition: displacement over time.
Can you draw the displacement vector?
 

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