Which statement correctly describes program mode velocity for industrial robots?

The statement that program mode velocity equals the programmed velocity accurately captures a fundamental aspect of how industrial robots operate in program mode. In this mode, the robot executes movements according to the specifications defined in its programmed trajectory, which includes setting specific velocity parameters. Therefore, the velocity at which the robot operates is predetermined and adheres strictly to what has been programmed, ensuring that the robot executes its tasks consistently and efficiently.

The programmed velocity is established based on the requirements of the application, including factors like speed, precision, and the tasks the robot is designed to perform. This precision in operation is crucial for maintaining safety standards and achieving the desired output in industrial settings. Hence, in program mode, the robot's velocity correlates directly with what has been set in the programming, making this statement true.

The other options provide various insights into different functionalities and modes of robotic operation, but they do not accurately reflect the specific nature of program mode velocity.