1.For a freely falling body under gravity: 1.Why does the slope of S vs. t^2 gives g/2? Why not g itself???? 2.Does the graph exhibit linear relationship? I have studied that the slope of a velocity time graphy gives the acceleration directly. Now when we make a graph for S vs. t^2 from a graph of velocity-time for a freely falling body. So why does the slope of the graph obtained gives g/2?