1. ## Average 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?

2. ## Re: Average velocity equation?

Erm... 12 m/s is not a time.

Anyway, average velocity is $\bar v = {\Delta x \over \Delta t}$.
See e.g. wiki.

3. ## Re: 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 $\Delta x$ and $\Delta t$.

4. ## Re: Average velocity equation?

Originally Posted by ILikeSerena
Erm... 12 m/s is not a time.

Anyway, average velocity is $\bar v = {\Delta x \over \Delta t}$.
See e.g. wiki.
sorry about that, but in my question I am not given the displacement!
Here is the question:

An airplane maintains a constant acceleration of 4 m/ssquared E as it speeds up from 16m/s t0 to 28 m/s E

what is the av. velocity?

5. ## Re: Average velocity equation?

Originally Posted by sakonpure6
sorry about that, but in my question I am not given the displacement!
Here is the question:

An airplane maintains a constant acceleration of 4 m/ssquared E as it speeds up from 16m/s t0 to 28 m/s E

what is the av. velocity?
Ah well, in that case you can simply take the average of the initial and the final speed.
$\bar v = {v_{initial} + v_{final} \over 2}$

Alternatively, you can calculate $\Delta t = {\Delta v \over a}$ and $\Delta x = v_{initial} \Delta t + \frac 1 2 a (\Delta t)^2$.
But you'll get the same result.

6. ## Re: Average velocity equation?

thank you, much appreciated. Im new and some info needs to be sorted >.<!

7. ## Re: Average velocity equation?

Originally Posted by ILikeSerena
Ah well, in that case you can simply take the average of the initial and the final speed.
$\bar v = {v_{initial} + v_{final} \over 2}$
This is correct as long as the acceleration is constant as is, of course, the case here.

Alternatively, you can calculate $\Delta t = {\Delta v \over a}$ and $\Delta x = v_{initial} \Delta t + \frac 1 2 a (\Delta t)^2$.
But you'll get the same result.

8. ## Re: Average velocity equation?

Apparently you need a couple of assumptions.

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