Kinematic Equations - Manipulating them.

[Huynher]

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.

 

[Kaoi]

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...

 

[kyle8921]

Hello, welcome to the forum! It's great that you're seeking help with your homework.

The kinematic equation you mentioned is a useful tool for solving problems involving motion. To manipulate it, you can rearrange the equation to isolate the variable you are looking for. For example, if you want to find the final velocity (Vf), you would rearrange the equation to be:

Vf = √(Vi² + 2ad)

This means that to find the final velocity, you need to take the square root of the sum of the initial velocity squared and two times the acceleration multiplied by the displacement.

Similarly, if you want to find the initial velocity (Vi), you would manipulate the equation to be:

Vi = √(Vf² - 2ad)

To find the acceleration (a), you can rearrange the equation to be:

a = (Vf² - Vi²) / (2d)

And to find the displacement (d), you can rearrange the equation to be:

d = (Vf² - Vi²) / (2a)

Remember to pay attention to the units of measurement when solving these problems, as they can affect your final answer.

I hope this helps you understand how to manipulate the kinematic equation to find the different variables. Good luck with your homework!