Here’s a good one to take home to show the kids, makes learning **Algebra** fun!

This is a short set of equations, often written using the variable names **s**, **u**, **v**, **a**, and **t**, standing for displacement, initial velocity, final velocity, acceleration, and time respectively. **SOMETHING OF NOTE**: these only work to describe situations with uniform (i.e. constant) acceleration. For the more general case of an accelerating acceleration, you gotta throw in some salt, some pepper, and a pinch of **Calculus**.

It all starts off by defining average velocity of a body by it’s displacement which reads “the average velocity is the change in displacement over time” – of course, if you know your maths, you know you can define an **Arithmetic Average** of our velocity here as so

Now we can define acceleration similarly, by saying which reads “acceleration is change in velocity over time”.

Rearrange that to find –> obviously, you can also get from this.

Do some substitution, and find that —> solving for u gives instead. Handy innit?

Let’s solve for t now (oh, I already did), and sub that into our displacement equation: and rearrange it, to find

And that’s all there is to it! You can solve basic kinetics problems now! Hooray!

I’ll give a brief summary of the equations I guess, I’ve got time. So in no particular order:

With these, you’ve got what it takes to do some damage – just don’t forget which way is pointing up! Good luck my friend.

OH! I should also mention now that you’re here, that there are analogous equations to describe **Rotational** situations, with the variables being replaced by angular analogues. You’ll bump into them, I’m sure.

Au revoir!

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