This talk will focus on the topological dynamics of a non-autonomous dynamical system $(X,\mathbb{F})$, where $X$ is a compact metric space and $\mathbb{F}=f_1,f_2,\dots$ is a sequence of continuous surjective functions on $X$. In particular we will discuss equicontinuity and distality for non-autonomous systems on the interval. We will discuss the distality of the system using the enveloping cover $E_0(X)=\overline{{\omega }_k:k\in \mathbb{Z}}$ (where ${\omega }_n=f_n\circ f_{n-1}\dots \circ f_1$). We use analytical tools to establish the equivalence of distality and equicontinuity for non-autonomous systems on the interval.