Parameterization of simple equations

  • Thread starter 1MileCrash
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  • #1
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Homework Statement



Find a parameterization for the motion described by x = -3z^2 in the xz plane.

Homework Equations





The Attempt at a Solution



For circles and stuff, I get the general process, but for these simple ones, they feel a little too easy.

Is it valid for me to say:

let x(t) = t
then z(t) = -3t^2

and y(t) = 0 because of it's location in the plane constantly of xz.

Can I always just solve the equations for one side and define it to be equal to t, adjusting the remaining equation(s) accordingly?
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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If you meant z=(-3x^2) instead of what you posted that's one solution.
 

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