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Vector Field Question

  • 20-03-2012 2:07pm
    #1
    Teg Veece
    Registered Users, Registered Users 2 Posts: 550 ✭✭✭


    I've a velocity vector field, v, that varies with location,x.

    I'm just wondering what the expression is for the displacement, s, of a particle allowed to drift inside the vector field for a time, t.

    I was thinking it might be something like:

    s(t) = \int_0^t_{final} v(x) dt

    but I'm not sure if that right. It seems in the above equation that x would remain fixed during the integration even though the particle is drifting so x and consequently v(x) would change the time.

    Any help would be appreciated.

    Mods: This might be more suited to the Physics forum. Feel free to move it if you think so.


Comments

  • #2
    ray giraffe
    Registered Users, Registered Users 2 Posts: 338 ✭✭ray giraffe


    Try thinking about it in 1 dimension first, where velocity= dx/dt = f(x).

    Also, from a physics point of view it is more realistic for acceleration to depend on position, rather than velocity.


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