The phase of the cell cycle where a cell carries on normal metabolism and DNA replicates is called S phase, which stands for synthesis phase.

Here's a breakdown of the cell cycle phases:

* G1 phase (First Gap): The cell grows and carries out normal metabolic functions. This is the phase where the cell decides whether to divide or not.

* S phase (Synthesis): The cell replicates its DNA, ensuring that each daughter cell receives a complete set of chromosomes.

* G2 phase (Second Gap): The cell continues to grow and prepares for mitosis or meiosis. It checks that DNA replication was successful and makes any necessary repairs.

* M phase (Mitosis or Meiosis): This is the phase where the cell divides its replicated DNA and cytoplasm to create two daughter cells.

Therefore, normal metabolism and DNA replication occur in different phases of the cell cycle. Normal metabolism happens throughout the cell cycle, including in G1, S, and G2. DNA replication happens specifically in S phase.