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Math Help - Average velocity equation?

  1. #1
    Senior Member sakonpure6's Avatar
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    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?
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  2. #2
    Super Member ILikeSerena's Avatar
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    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.
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  3. #3
    Super Member ILikeSerena's Avatar
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    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.
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    Senior Member sakonpure6's Avatar
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    Re: Average velocity equation?

    Quote Originally Posted by ILikeSerena View Post
    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?
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  5. #5
    Super Member ILikeSerena's Avatar
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    Re: Average velocity equation?

    Quote Originally Posted by sakonpure6 View Post
    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.
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  6. #6
    Senior Member sakonpure6's Avatar
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    Re: Average velocity equation?

    thank you, much appreciated. Im new and some info needs to be sorted >.<!
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  7. #7
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    Re: Average velocity equation?

    Quote Originally Posted by ILikeSerena View Post
    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.
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  8. #8
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    Re: Average velocity equation?

    Apparently you need a couple of assumptions.

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