physics equations

Kinematic equations in three dimensions ($x$, $y$, and $z$) for constant acceleration

In vector form, position is $\mathbf{r}(t) = \mathbf{r}<em>0 + \mathbf{v}</em>0 t + \frac{1}{2}\mathbf{a}t^2$ and velocity is $\mathbf{v}(t) = \mathbf{v}<em>0 + \mathbf{a}t$. In component form, motion along each orthogonal axis is independent: $x(t) = x</em>0 + v<em>{0x}t + \frac{1}{2}a</em>x t^2$, $y(t) = y<em>0 + v</em>{0y}t + \frac{1}{2}a<em>y t^2$, and $z(t) = z</em>0 + v<em>{0z}t + \frac{1}{2}a</em>z t^2$.

projectile motion

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