Which Average Velocity Formula Should I Use?

Click For Summary
The discussion clarifies two formulas for calculating average velocity: (Vf + Vi)/2 and (Xf - Xi)/Δt. The first formula applies specifically when acceleration is constant, while the second formula is the general definition of average velocity and is always applicable. Users express confusion about when to use each formula, emphasizing the need for context in problem-solving. The conversation highlights the importance of understanding the conditions under which each formula is valid. Ultimately, selecting the correct formula depends on the information provided in the problem.
fightboy
Messages
25
Reaction score
0
Hey guys I just had a question regarding the equation to calculate average velocity. The first equation I've seen is: Vf+Vi/2, with Vf representing final velocity and Vi representing initial velocity. The second equation I've seen is Xf-Xi/Δt, with X representing position and Δt representing the elapsed time. What is the difference between the two? I get confused on which equation to use for a problem asking for average velocity.
 
Physics news on Phys.org
The first equation, (Vf + Vi)/2, gives the average velocity when the acceleration is constant. It's not true in general.

The second, (Xf - Xi)/Δt, is the definition of average velocity and is always true. Whether it's useful or not depends on what you are given in the problem.
 
fightboy said:
Hey guys I just had a question regarding the equation to calculate average velocity. The first equation I've seen is: Vf+Vi/2, with Vf representing final velocity and Vi representing initial velocity. The second equation I've seen is Xf-Xi/Δt, with X representing position and Δt representing the elapsed time. What is the difference between the two? I get confused on which equation to use for a problem asking for average velocity.
Notice the parentheses Doc Al added in his reply to you.
 
ok that cleared it up, thanks!
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 7 ·
Replies
7
Views
1K
Replies
5
Views
1K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
20
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K