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Elliptic functions in parametric equations

  1. Apr 18, 2009 #1
    Hey guys so I had trouble with this problem, I hope it's not too long and you can help me out.

    1. The problem statement, all variables and given/known data
    A point moves following (starting at λ = 0 and increasing):
    x = 4·cn(λ)
    y = 3·sn(λ)
    z= am(λ)
    Find the distance the point has traveled when the speed vector is parallel to (-4, 3, √2).

    2. Relevant equations
    The elliptic functions are of the first kind with k2 = 1/2.

    3. The attempt at a solution
    I thought of the following:
    v = dp/dt = (-4·sn(λ)·dn(λ), 3·cn(λ)·dn(λ), dn(λ))·(dλ/dt) = c·(-4, 3, √2) (with c a constant real number)
    But then I don't know what to do next...

    Thank you so much for your help!
     
  2. jcsd
  3. Apr 18, 2009 #2
    Anyone could at least give me a clue on what my next move should be? Thanks.
     
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