# Math Help - Mathmatic model

1. ## Mathmatic model

Let the mathematic model be

$x = 0.5gt^2$

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

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

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 ):

2. Hello,
Originally Posted by treetheta
Let the mathematic model be

$x = 0.5gt^2$

what are two different methods that can be used to find g, the acceleration due to gravity, from a straight line graph representation.
One of the two methods may be to plot $2x$ against $t^2$.