Question 1017786
{{{16t^2-12t}}} is part of the perfect square
{{{16t^2-12t+9/4=(4t)^2-2(4t)(3/2)+(3/2)^2=(4t-3/2)^2}}} ,
so {{{-16t^2+12t-9/4=-(4t-3/2)^2}}} , and
{{{h(t)=-16t^2+12t=-16t^2+12t-9/4+9/4=-(4t-3/2)^2+9/4<=9/4=2.25}}} .
 
In words, the maximum of {{{h(t)}}} is {{{2.25ft}}} .
Your feet will not be any higher than 2.25ft above the ground,
so you will not be able to dunk the basketball.