What are the variables in the formula for average acceleration?

Click For Summary
SUMMARY

The formula for average acceleration is defined as (v_final - v_initial) / (t_initial - t_final). In this discussion, it is clarified that v_initial and v_final represent instantaneous velocities, which are determined by the second derivative of a function at specific points. This distinction is crucial for accurately calculating average acceleration in physics.

PREREQUISITES
  • Understanding of calculus, specifically derivatives
  • Familiarity with the concepts of velocity and acceleration
  • Knowledge of kinematic equations
  • Basic physics principles related to motion
NEXT STEPS
  • Study the second derivative in calculus to understand its application in physics
  • Learn about kinematic equations and their relevance to motion
  • Explore the relationship between instantaneous and average velocity
  • Investigate real-world applications of average acceleration in physics problems
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding motion and acceleration in a mathematical context.

MienTommy
Messages
22
Reaction score
0
The formula for average acceleration is (v_final - v_initial) / (t_initial - t_final), I was wondering if v_initial and _final are the instantaneous velocities (found by second derivative of a function) at those points or are they the average velocities (found by change in distance over time)? It has been a while since I've done physics.
 
Physics news on Phys.org
Instantaneous velocities.
 
They are instantaneous velocities, yes.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 23 ·
Replies
23
Views
3K
  • · Replies 22 ·
Replies
22
Views
3K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
6K
  • · Replies 2 ·
Replies
2
Views
2K