# Hello Help Appreciated greatly

1. Jun 8, 2009

### Anita08

In order to get this final equation
of Displacement and time: $$v(t) = v_0 + \frac{1}{2} a t^2$$

How would I come about actually making this equation?

Would it be a combination of the simple acceleration equation and Delta x equation .... with so algebra. BOOM answer?

Thanks for your help!

--- Anita
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

Last edited by a moderator: Jun 8, 2009
2. Jun 8, 2009

### diazona

um... actually that isn't a correct equation. Were you thinking of one of these?
\begin{align*} x(t) &= x_0 + v_0 t + \frac{1}{2}a t^2 \\ v(t) &= v_0 + a t \end{align*}

3. Jun 8, 2009

### Anita08

Oh, crap yes! The first one :)

4. Jun 8, 2009

### drizzle

http://www.coolschool.ca/lor/PH11/unit2/U02L02/kinematic5.gif" [Broken]
make sure you understand it

Last edited by a moderator: May 4, 2017
5. Jun 8, 2009

### Anita08

WOW, thats how you do that! UH, I hate not having math hard core in my life and then BAM all of a sudden need to use it.

Thanks a million :) !!!!!!!!!!

6. Jun 8, 2009

### Staff: Mentor

Are you comfortable with doing integrals in calculus? You use fairly simple integrations to go from a(t) --> v(t) --> x(t), assuming constant acceleration (which is true in this case of gravity being the acceration).

7. Jun 8, 2009

### Anita08

I used to about two years ago :(

I'm lost at times but definitely getting there!

8. Jun 8, 2009

### drizzle

any time

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