So I did a lab where we are calculating the acceleration due to gravity using a variety of methods. For two of the methods, we have an object attached to a magnet, then the magnet is turned off so the object is in free fall and it makes a spark/mark every 1/60th of a second on a piece of tape. And then we use the distances of the marks on the tape to calculate gravity. The first method, we make a plot of velocity versus time, because V = V0 + gt, so the slope of the line will be g. The second method we plot Distance versus t^2 since D(t) = .5 g t^2. and the slope is 1/2g. My question is, I'm supposed to think of which method seems better. Is it accurate to say that the first method using v vs t is probably more reliable because, maybe errors would get propagated through the t^2 in the second method, but not for the first method since it's just t? I also notice that in my D vs t^2 plot, there is a slight curve at the beginning, i'm guessing this is because the magnet when it's closer at the beginning of the drop. But i don't see this curve in the other plot, is this again, just because the t^2 is magnifying the errors?