Kinematic Equations - Manipulating them.

Click For Summary
The discussion focuses on manipulating the kinematic equation Vf² = Vi² + 2ad to solve for final velocity (Vf), initial velocity (Vi), acceleration (a), and displacement (d). To isolate Vf, one can rearrange the equation to Vf² = Vi² + 2ad and then take the square root. For finding Vi, the equation can be rearranged to Vi² = Vf² - 2ad, followed by taking the square root. The participants suggest that with basic algebra, the user should be able to derive the values for a and d as well. Overall, the conversation emphasizes the straightforward algebraic manipulation of the kinematic equations.
Huynher
Messages
1
Reaction score
0
Hi, I'm new to this forum.

I need major help on my homework. So the kinematic equation,
Vf² = Vi² + 2ad

I need to figure out how to manipulate it so I can find Vf(final velocity), Vi(initial velocity), a(acceleration), and d(displacement).

I figured to find Vf, you just square root it, but I can't figure out how to get everything else.

Vi = ?
a = ?
d = ?

Any help will be greatly appreciated. Thanks.
 
Physics news on Phys.org
It's simple algebra, really...

Vf2 = Vi2 + 2ad
Vf2 - 2ad = Vi2
Then square root both sides of the equation, and voila! I'm sure you can figure out a and d for yourself...
 
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 1 ·
Replies
1
Views
3K
Replies
20
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 17 ·
Replies
17
Views
3K
Replies
8
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K