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 $\mathbb{F}={f_1,f_2,\ldots}$ 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 $\omega_n=f_n \circ f_{n-1}… \circ f_1$). We use analytical tools to establish the equivalence of distality and equicontinuity for non-autonomous systems on the interval.