1. The problem statement, all variables and given/known data For my laboratory exercise, I'm given the task of estimating the acceleration due to gravity near the Earth's surface by dropping metal balls from a specified height, and obtaining the time it takes to reach a surface. I did all that, and plotted the data on some log-log graph paper (since the data seemed to possess a power law relationship) and calculated the function of my graph: f(x) = 0.045x0.497 Where 0.497 is the slope of my graph. I'm not entirely certain how I can use this data to estimate an acceleration. I suppose I don't really know what this slope is, but I'm thinking its a velocity 2. Relevant equations I suppose kinematic equations might be of use here. 3. The attempt at a solution I can't say I really tried... I was thinking that perhaps the slope had some sort of specific dimensions, but after running some test calculations, my results seemed very off. Any advice on how I can approach this? I'm aware that one can try squaring the times, and then drawing that graph, but my instructions state that I use my calculated slope.