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