How using the average velocity gives the exact value of s?

Click For Summary
SUMMARY

The discussion centers on the use of average velocity to calculate displacement (∆s) during motion with constant or variable acceleration. It is established that average velocity, defined as (∆s/∆t), provides an average displacement per time interval rather than the exact displacement. The conclusion emphasizes that while average velocity offers a useful approximation, it does not yield the precise value of displacement for non-constant velocities.

PREREQUISITES
  • Understanding of basic kinematics concepts, including displacement and velocity.
  • Familiarity with the equations of motion under constant and variable acceleration.
  • Knowledge of calculus fundamentals, particularly integration for variable acceleration scenarios.
  • Ability to perform statistical calculations to determine average values.
NEXT STEPS
  • Study the concept of instantaneous velocity and its relation to displacement.
  • Learn about calculus-based motion analysis, including integration of velocity functions.
  • Explore the implications of variable acceleration on displacement calculations.
  • Investigate real-world applications of average velocity in physics problems.
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding the relationship between average velocity and displacement in motion analysis.

almirza
Messages
11
Reaction score
0

Homework Statement



When we got a constant acceleration or a variable acceleration (i.e. when the velocity of the moving object is not constant), we use averge velocity to be equal to (∆s/∆t).
What I was wondering that if for example we got all the velocities so we can calculate the averge of them and the time taken and we need to calculate the displacement moved, how using averge velocity can give us the right answer or the right value for ∆s?
Is it really the exact displacement moved in time ∆t? How?

Homework Equations





The Attempt at a Solution

 
Last edited:
Physics news on Phys.org
You average velocity won't give you the exact value for \Delta s. Your average velocity in that formula will give you an average displacement per unit time interval.
 
G01 said:
You average velocity won't give you the exact value for \Delta s. Your average velocity in that formula will give you an average displacement per unit time interval.

Thank you
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
5
Views
2K
Replies
5
Views
1K
Replies
8
Views
1K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K