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I was unsure as where to put this as it seems to fit into quite a few categories, however since it is primarily an algebra question I decided on the algebra forum.

I recently spent loads of time working out a formula which (if the object is steadily accelerating through a vacuum, has no outside influences, and if you know that acceleration and also the start and end velocity of the object) gives the distance the object travelled. Here's that formula:

[tex] d = \frac {v(\frac {v - u} {a} + 1)} {2} [/tex]

d = distance travelled

v = final velocity

u = start velocity

a = acceleration

My first problem is that I'm wanting to rearrange the formula to make each the final velocity (v), start velocity (u) and acceleration (a) it's subject, but as of yet I haven't been able to do so.

My second question is whether I've just wasted my time doing this and there's already a formula to do what my formula does. This was the part of the post that made me unsure as to which forum to post this in as it's sort of a physics question.

Sorry if this all seems really trivial to anybody, but I'm really only formally educated up to a high school level (seeing as I'm in high school at the moment) and everything else I know is just bits and pieces I've picked up from magazines and the like. Oh and don't worry this isn't homework.

Thanks in advance.

Indy

[edit] I've just realised that it sounds very much like I'm asking you to do this for me, but I assure you I've searched high and low for a formula similar to mine and couldn't find any. Also in regards to rearranging, it would be great if you could do it for me (save me a lot of work :P), but I'd really like to learn to do this on my own, I haven't been able to find any sort of advanced rearranging tutorials anywhere, so if you know of any and can post them I'd be more than grateful.[/edit]

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# Rearranging Formulae

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