Average Velocity and Constant Acceleration

  • #1

Main Question or Discussion Point

Can some one please prove that Vav=(Vi+Vf)/2 is valid only for constant acceleration?
 

Answers and Replies

  • #2
A.T.
Science Advisor
9,888
1,672
Can some one please prove that Vav=(Vi+Vf)/2 is valid only for constant acceleration?
No, because it isn't valid only for constant acceleration. There are other velocity functions that also yield this average velocity.
 
  • #3
rcgldr
Homework Helper
8,668
504
Can some one please prove that Vav=(Vi+Vf)/2 is valid only for constant acceleration?
It's posible for Vav=(Vi+Vf)/2 to be true for variable acceleration as well. Start off with a graph of velocity (y axis) versus time (x axis). Then the area below the horizontal line that goes from {t0, Vav} to {t1, Vav} = Vav x (t1 - t0) = the distance traveled. Then note that any line of any shape with the same amount of area under the line from {t0, Vi} to {t1, Vf} would also have the same average velocity as constant acceleration.
 

Related Threads for: Average Velocity and Constant Acceleration

Replies
5
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
659
Replies
14
Views
3K
  • Last Post
Replies
3
Views
1K
Replies
6
Views
2K
Replies
2
Views
4K
Replies
10
Views
2K
Top