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?
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 $\displaystyle \Delta t$.
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.
This is correct as long as the acceleration is constant as is, of course, the case here.
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.
Apparently you need a couple of assumptions.
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