In this paper, we derive an equation for the distance covered by a free-falling body as a function of time valid for any arbitrary distance. The equation, interestingly, yields exactly the time according to the Kepler's third law in the limiting case of very large distance compared to the radius of the Earth. The equation, of course, reduces to…

Explains how the moon provides information about the evolution of the solar system and offers scope for physics-based investigations. Uses statistical analysis of real scientific data with which students can predict the diameter and depth of impact craters then compare them with data gathered in institutions or laboratories. (Author/YDS)