Final answer:
Exocytosis is the active transport process that moves materials out of the cell by fusing a vesicle with the plasma membrane to release its contents outside the cell.
Step-by-step explanation:
A type of active transport which allows materials out of the cell is Exocytosis. This process involves a vesicle within the cell that fuses with the plasma membrane to release its contents outside the cell. This is contrasted with endocytosis, which brings substances into the cell, and differs from passive transport methods like facilitated diffusion, where substances move along their concentration gradient without the use of energy.