# Derive the equation

Marcsmeets

## Homework Statement

Derive the equation v^2 = u^2 + 2as

I have no clue how to do this please can someone help!

Thank you!

barryj
Notice that there is no t involved in this relationship. Look at your equations for distance and average acceleration and see how to eliminate t.

Mentor
I don't know about you, but whenever I see velocity-squared terms I tend to think about kinetic energy... barryj
gneill, I am sure you are correct but you can also derive this equation from two basic equations and energy principals are not required.

Mentor
gneill, I am sure you are correct but you can also derive this equation from two basic equations and energy principals are not required.

Sure. But it's nice to have options. Some approaches are more intuitively obvious to different people.

barryj
If you use energy, then you have to introduce mass and this is not necessary.

Mentor
If you use energy, then you have to introduce mass and this is not necessary.

Mass disappears by cancellation. No biggie. Or use specific energy barryj
So why complicate a simple problem?

Mentor
So why complicate a simple problem?

It's no more complicated an approach if you're familiar with the concept. Like I said, different strokes for different folks.

Let's wait to see what the OP comes up with.

IamBatman
Derive via using other kinematic equations?

Mandelbroth

## Homework Statement

Derive the equation v^2 = u^2 + 2as

I have no clue how to do this please can someone help!

Thank you!
Note that this equation is assuming that acceleration, the derivative of velocity with respect to time, is constant. This is, then, just a simple exercise in calculus.

Mentor
Hi Marksmeets. Welcome to Physics Forums. We can best answer your question if we know whether you have had calculus yet. Have you?

IamBatman
I'm thinking if its an intro class then there's no calculus and just want you to use other kinematic equations to this one. I remember having a question where it was just that for intro physics but I can't be certain about op.

barryj
This is definitely an intro physics question. Only algebra 1 is needed, that is if you have the two kinematic equations.