To solve this, we are going to use the distance of a free fallen object: [tex]d=0.5gt^2[/tex]
where
[tex]d[/tex] is the distance
[tex]g[/tex] is the gravity of the Earth [tex]9.8m/s^2[/tex]
[tex]t[/tex] is the time in seconds
We know form our problem that a cat falls out of a tree and takes 1.4 seconds to land, [tex]t=1.4[/tex]. Lets replace that value in our formula to find [tex]d[/tex]:
[tex]d=0.5gt^2[/tex]
[tex]d=0.5(9.8)(1.4)^2[/tex]
[tex]d=9.604[/tex] meters
We can conclude that the cat fell a distance of 9.604 meters.
