Adding velocity vectors to get average velocity

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SUMMARY

This discussion centers on the concept of calculating average velocity by adding velocity vectors. It establishes that while total displacement can be calculated by summing displacement vectors, average velocity requires a different approach. Specifically, average velocity is defined as the total change in position divided by the total time. The discussion clarifies that velocity vectors can only be summed directly if they represent equal time intervals.

PREREQUISITES
  • Understanding of vector addition
  • Basic knowledge of displacement and velocity concepts
  • Familiarity with time intervals in physics
  • Concept of average velocity calculation
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  • Research vector addition in physics
  • Study the relationship between displacement and average velocity
  • Learn about time intervals and their impact on vector calculations
  • Explore examples of average velocity calculations in real-world scenarios
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Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of velocity and displacement in motion analysis.

Jtwa
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If you're driving in a car and map out all the displacement vectors, you can add the segments to get the total displacement. Correct?

Why can't we add the various velocity vectors for the different segments to get the average velocity. ?

Could you add up all the velocity vectors and divide by the # of segments?
 
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If all the vectors represented the same amount of time, you could.
 
Average velocity is also the total change in position divided by the total time.
 

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