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Vector Calculus World Problem About Mechanics

  1. Jun 9, 2010 #1
    1. The problem statement, all variables and given/known data

    A particle is constrained to move around the unit circle in the xy plane according to the

    formula (x,y,z)=(cos(t2),sin(t2),0), t[tex]\geq[/tex]0.

    At what point on the circle should the particle be released to hit a target at (2,0,0)?

    2. Relevant equations


    3. The attempt at a solution

    I computed the velocity vector and speed of the particle as functions of t:

    velocity: (-2tsin(t2),2tcos(t2),0)

    speed: 2t.

    After wards, I got stuck. Any advice would be appreciated.
  2. jcsd
  3. Jun 9, 2010 #2


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    Homework Helper
    Gold Member

    Hint: Once the particle is released (No forces act on it), what kind of trajectory would you expect it to have? (i.e. circular, parabolic, etc.)
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