Posted by **AP Physics** on Saturday, June 13, 2009 at 8:32pm.

hi I need help on this proof

ok I'm tyring to prove that

v^2 = v^20 + 2a(x -x0)

where the zeros are subscripts

ok the first step my book says is

start out with

x = x0 + average velocity (t)

then plug in average velocity

x = x0 + (2^-1(v + v0))t

ok and the next line it says

solve for t

and the next formula it shows

is

t = a^-1(v - v0)

ok how did you go from that line to this one?

Please show me

what happened to the two?

were did the a come from

I don' get it

Thanks!

- AP Physics -
**Damon**, Saturday, June 13, 2009 at 8:47pm
I do not blame you but I will try.

V^2 = Vo^2 + 2 a (X-Xo)

is where you want to go

ok

X = Xo + (V+Vo)t/2

V+Vo = 2 (X-Xo)/t

Now what you seem to be missing is

V = Vo + a t

which you are supposed to know, the definition of constant acceleration (change in velocity = acceleration times time)

so

t =(V-Vo)/a

then

(V+Vo) = 2(X-Xo) a /(V-Vo)

so then

V^2-Vo^2 = 2 (X-Xo) a

- AP Physics -
**Damon**, Saturday, June 13, 2009 at 8:48pm
This is a really, really, klutzy way to do this !!!

## Answer this Question

## Related Questions

- AP Physics - Hello I was trying to find the proof of the formula x = x0 + v0t +....
- Physics - I'm trying to prove Kepler's equations the proof is in my book but I ...
- pre-calculus - Prove 3+4+5+...+(n+2) = [n(n+5)]/2 for n>4 Do the first step ...
- geometry - Construction: The midpoint of a line segment can be constructed. ...
- DISCRETE MATHS - Prove that for every set S, Ø \subseteq( S. i need to Use ...
- Algebra II - The problem is:Prove that the statement 1/5+1/5^2+1/5^3+...1/5^n=1/...
- Algebra II - The problem is:Prove that the statement 1/5+1/5^2+1/5^3+...1/5^n=1/...
- trig - Prove sin 1 cos 1 cos ...
- precal - Prove sin 1 cos 1 cos ...
- math - I need help with this problem. If someone can do it step by step that ...