Throwing & free falling

An orange, shot from an orange cannon, flies in a bow through the air. At any moment it has a position $\vec s=(s_x,s_y)$, a velocity $\vec v=(v_x,v_y)$ and an acceleration $\vec a=(a_x,a_y)$ (we imagine a $y$-axis vertically and an $x$-axis horizontally so that we can write these easy $x$- and $y$-labels).