Lateral roots arise far back on the taproot. Not near the tip like leaves. Located in a zone back from the apex, elongate tubular extensions of single cells of the epidermis with increased surface area for absorption. They arise in back of the tip and die off some distance back. In back of that is the area where cells are actively dividing.
Most plants have indeterminate growth.
Ranunculus root x.s. Boundary of the stele, is a barrier to water transport. The root pushes its way through the cortex and breaks through to the outside. This happens some distance behind the region of elongation. Young roots develop a root cap and the vascular system differentiates connecting the new root to the parent root.