# Are there any equation for 2d motion and if present what are they?

Aug 14, 2016

Sure there are

#### Explanation:

As a starting point, just take your equations for 1-D and apply them in 2-D

so in 1-D, $v = u + a t$

in 2-D rectangular (x-y) co-ordinates these become:

$\vec{v} = \left(\begin{matrix}{v}_{x} \\ {v}_{y}\end{matrix}\right) = \left(\begin{matrix}{u}_{x} \\ {u}_{y}\end{matrix}\right) + \left(\begin{matrix}{a}_{x} \\ {a}_{y}\end{matrix}\right) t$

you can completely generalise by saying that $\vec{v} = \frac{d}{\mathrm{dt}} \vec{r}$ and $\vec{a} = {d}^{2} / {\mathrm{dt}}^{2} \vec{r}$ and then choose the coordinate system if you like