If I am given the acceleration of 4 m/s(sqaured) and a total time of 12 m/s what formula would i use to find the average velocity?

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- Feb 12th 2013, 01:30 PMsakonpure6Average velocity equation?
If I am given the acceleration of 4 m/s(sqaured) and a total time of 12 m/s what formula would i use to find the average velocity?

- Feb 12th 2013, 01:37 PMILikeSerenaRe: Average velocity equation?
Erm... 12 m/s is not a time.

Anyway, average velocity is $\displaystyle \bar v = {\Delta x \over \Delta t}$.

See e.g. wiki. - Feb 12th 2013, 01:40 PMILikeSerenaRe: Average velocity equation?
Apparently you need a couple of assumptions.

Initial speed of zero and acceleration until 12 m/s or something like that.

With assumptions like that you could calculate $\displaystyle \Delta x$ and $\displaystyle \Delta t$. - Feb 12th 2013, 01:41 PMsakonpure6Re: Average velocity equation?
- Feb 12th 2013, 01:48 PMILikeSerenaRe: Average velocity equation?
Ah well, in that case you can simply take the average of the initial and the final speed.

$\displaystyle \bar v = {v_{initial} + v_{final} \over 2}$

Alternatively, you can calculate $\displaystyle \Delta t = {\Delta v \over a}$ and $\displaystyle \Delta x = v_{initial} \Delta t + \frac 1 2 a (\Delta t)^2$.

But you'll get the same result. - Feb 12th 2013, 02:01 PMsakonpure6Re: Average velocity equation?
thank you, much appreciated. Im new and some info needs to be sorted >.<!

- Feb 12th 2013, 04:22 PMHallsofIvyRe: Average velocity equation?
This is correct as long as the acceleration is

**constant**as is, of course, the case here.

Quote:

Alternatively, you can calculate $\displaystyle \Delta t = {\Delta v \over a}$ and $\displaystyle \Delta x = v_{initial} \Delta t + \frac 1 2 a (\Delta t)^2$.

But you'll get the same result.

- Feb 18th 2013, 08:49 PMLanellePalmerRe: Average velocity equation?
Apparently you need a couple of assumptions.

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