What should a train do if it is authorized to occupy the next block?

When a train is authorized to occupy the next block, it should proceed prepared to stop at the next Block Limit signal. This is critical for maintaining safety and ensuring that the train is ready for any potential changes in signals ahead. By proceeding with caution, the crew can react appropriately to signals that may indicate a stop or a change in conditions on the track.

In train operations, the signals directly ahead can communicate a number of important instructions, and being prepared to stop allows the crew to maintain control of the train's speed and trajectory. This cautious approach ensures that the train can safely respond to any unforeseen conditions that might require halting or slowing down before entering the next block.

The other options might suggest a level of confidence in proceeding without caution, which is contrary to the principles of safe train operations. Therefore, being prepared to stop at the next Block Limit signal is the most prudent choice for ensuring safety and adherence to signal indicators.