Question 322376
Write the equation of proportionality:
{{{s(t) = kt^2}}} where k is the constant of proportionality.
First find the value of k by substituting the given values of s=1,024 feet and t=8 seconds.
{{{1024 = k(8^2)}}}
{{{1024 = k(64)}}}
{{{k = 16}}} Substitute this into the given function then you can solve the problem:
{{{s(t) = 16t^2}}} Substitute t = 12.
{{{s(12) = 16(12^2)}}} Evaluate.
{{{s(12) = 16(144)}}}
{{{s(12) = 2304}}}feet.
The objct will fall 2304 feet in 12 seconds.