Editing Parametric equation (section)

===Kinematics===
In [[kinematics]], objects' paths through space are commonly described as parametric curves, with each spatial coordinate depending explicitly on an independent parameter (usually time). Used in this way, the set of parametric equations for the object's coordinates collectively constitute a [[vector-valued function]] for position. Such parametric curves can then be [[Integral|integrated]] and [[derivative|differentiated]] termwise. Thus, if a particle's position is described parametrically as 
<math display="block">\mathbf{r}(t) = (x(t), y(t), z(t))\,,</math>

then its [[velocity]] can be found as 
<math display="block">\begin{align}
\mathbf{v}(t) &= \mathbf{r}'(t) \\
              &= (x'(t), y'(t), z'(t))\,,
\end{align}</math>

and its [[acceleration]] as
<math display="block">\begin{align}
\mathbf{a}(t) &= \mathbf{v}'(t) = \mathbf{r}''(t) \\
              &= (x''(t), y''(t), z''(t))\,.
\end{align}</math>