The document discusses a simple pendulum on Earth with a period of 2.5 seconds. To achieve this period, the string must be 1.55 meters long and the mass does not affect the period. If the pendulum is taken to a higher altitude, the period will increase because gravity decreases with increasing altitude. Increasing the length of a simple pendulum also increases its period, as the mass must travel a greater distance during each oscillation with a longer string for the same angular displacement.