Question 147231
I can say:
{{{1296 = k*6^2}}}
That's what proportional means. {{{k}}} is some fixed
constant that is always true for the falling object.
It must also be true that
{{{2304 = k*t^2}}} where {{{t}}} is the time since it started to fall
I can find {{{k}}} from the 1st equation
{{{1296 = 36k}}}
{{{k = 36}}}
Now plug this into the 2nd equation
{{{36t^2 = 2304}}}
{{{t^2 = 64}}}
{{{t = 8}}}
It will take 8 sec for the object to fall 2304 ft