Let the mathematic model be

$\displaystyle x = 0.5gt^2 $

what are two different methods that can be used to find g, the acceleration due to gravity, from a straight line graph representation.

I have 1

$\displaystyle x = 0.5gt^2 $

$\displaystyle ln(x) = ln(0.5gt^2) $

$\displaystyle ln(x) = ln(0.5g) + ln(t^2) $

$\displaystyle ln(x) = 2ln(t) +ln(0.5g) $

we can sub in points from 0-100 for ln and we know that ln is the inverse of the inital function so we can interchange the values and solve for g

but i cant think of another method ):