you are trying to dunk a basketball. you need to jump 2.5 ft in the air to dunk the ball. the height that your feet are above the ground is given by the function h(t)=-16t[square] +12t. what is the maximum height your feet will be above the ground? will you be able to dunk the basketball?

Solution:

             h(t)=-16t[square] +12t

              t = -12/-32 = 3/8

              h = -16 * 9/64 + 12 * 3/8 = -2.25 + 4.5 = 2.25 feet

Answer is yes