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Derive the equation

  1. Oct 4, 2013 #1

    Marcsmeets

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

    Derive the equation v^2 = u^2 + 2as

    I have no clue how to do this please can someone help!

    Thank you!
     
    Marcsmeets, Oct 4, 2013
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  3. Oct 4, 2013 #2

    barryj

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    Notice that there is no t involved in this relationship. Look at your equations for distance and average acceleration and see how to eliminate t.
     
    barryj, Oct 4, 2013
  4. Oct 4, 2013 #3

    gneill

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    Staff: Mentor

    I don't know about you, but whenever I see velocity-squared terms I tend to think about kinetic energy... :wink:
     
    gneill, Oct 4, 2013
  5. Oct 4, 2013 #4

    barryj

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    gneill, I am sure you are correct but you can also derive this equation from two basic equations and energy principals are not required.
     
    barryj, Oct 4, 2013
  6. Oct 4, 2013 #5

    gneill

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    Staff: Mentor

    Sure. But it's nice to have options. Some approaches are more intuitively obvious to different people.
     
    gneill, Oct 4, 2013
  7. Oct 4, 2013 #6

    barryj

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    If you use energy, then you have to introduce mass and this is not necessary.
     
    barryj, Oct 4, 2013
  8. Oct 4, 2013 #7

    gneill

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    Staff: Mentor

    Mass disappears by cancellation. No biggie. Or use specific energy :smile:
     
    gneill, Oct 4, 2013
  9. Oct 4, 2013 #8

    barryj

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    So why complicate a simple problem?
     
    barryj, Oct 4, 2013
  10. Oct 4, 2013 #9

    gneill

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    It's no more complicated an approach if you're familiar with the concept. Like I said, different strokes for different folks.

    Let's wait to see what the OP comes up with.
     
    gneill, Oct 4, 2013
  11. Oct 4, 2013 #10

    IamBatman

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    Derive via using other kinematic equations?
     
    IamBatman, Oct 4, 2013
  12. Oct 4, 2013 #11

    Mandelbroth

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    Note that this equation is assuming that acceleration, the derivative of velocity with respect to time, is constant. This is, then, just a simple exercise in calculus.
     
    Mandelbroth, Oct 4, 2013
  13. Oct 4, 2013 #12

    Chestermiller

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    Staff: Mentor

    Hi Marksmeets. Welcome to Physics Forums. We can best answer your question if we know whether you have had calculus yet. Have you?
     
    Chestermiller, Oct 4, 2013
  14. Oct 4, 2013 #13

    IamBatman

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    I'm thinking if its an intro class then there's no calculus and just want you to use other kinematic equations to this one. I remember having a question where it was just that for intro physics but I can't be certain about op.
     
    IamBatman, Oct 4, 2013
  15. Oct 4, 2013 #14

    barryj

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    This is definitely an intro physics question. Only algebra 1 is needed, that is if you have the two kinematic equations.
     
    barryj, Oct 4, 2013
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