Step 1: Recall the three growth zones.
Behind a root or shoot tip there are three regions. First division, then elongation, then maturation.
Step 2: Match rapid enlargement.
In the elongation zone the new cells soak up a lot of water into their vacuoles. This water pushes the cell to swell fast and get longer. That is the rapid enlargement asked about.
Step 3: Why not the others.
The meristematic phase only makes new cells by division. The maturation phase fixes the cell into its final form. Senescence is the dying stage. None of these means rapid swelling.
Step 4: Final choice.
Rapid cell enlargement happens in the elongation phase, option 2.
\[ \boxed{\text{Elongation phase}} \]