Question 19230
Write the proportion:

{{{d = kt^2}}} d = distance, t = time. Need to find the value of k. Substitute the given values of d (1296 ft.) and t (6 seconds) and solve for k.

{{{1296 = k(6)^2}}} 
{{{1296 = k(36)}}} Divide both sides by 36.
{{{k = 36}}}

{{{d = 36t^2}}} Substitute d = 2304 and solve for t.
{{{2304 = 36t^2}}} Divide both sides by 36.
{{{t^2 = 64}}} Take the square root of both sides.
{{{t = 8}}}

The object takes 8 seconds to fall 2304 feet.