Calculating Average Velocity from Acceleration?

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SUMMARY

The discussion focuses on calculating the average velocity of a third segment given the average velocities of the first two segments and assuming constant acceleration. The user attempts to apply the formula for acceleration, defined as (v2 - v1) / distance, to derive the average velocity for the third segment. The proposed solution suggests using the equation v3 = v2 + acceleration to find the average velocity, indicating a foundational understanding of the relationship between acceleration and velocity.

PREREQUISITES
  • Understanding of basic kinematics principles
  • Familiarity with average velocity calculations
  • Knowledge of acceleration formulas
  • Basic differential calculus concepts
NEXT STEPS
  • Study the relationship between acceleration and velocity in kinematics
  • Learn how to apply integral calculus to motion problems
  • Explore the concept of constant acceleration in physics
  • Practice solving problems involving average velocity and acceleration
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Students studying physics, particularly those focusing on kinematics, as well as educators and anyone interested in applying calculus to real-world motion problems.

SonnyBoy
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Homework Statement


This is a real world application I'm attempting to solve, but I'm unsure how to get started.

I have three contiguous segments of equal length and I know the average velocity for the first two segments. Assuming constant (but unknown) acceleration, how can I calculate the average velocity of the third segment?

Homework Equations


None?

The Attempt at a Solution


I've plugged a bunch of numbers into a spreadsheet, but I only have a basic understanding of differential calculus (and even less of an understanding of integral calculus), so I'm not getting too far. :(
 
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OK... so I think I have this so far...

acceleration = (v2 - v1) / distance
v3 = v2 + acceleration?
 

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