Concept: The question tests on applications of Functions
Solution:
Since t = 2 ansd t = 3 satisfies the equation formed, then (t - 2)(t - 3) = 0
therefore t^2−5t+6=0
Since the height reach is 96 feet, it will be a multiple of 6 = 16 * 6
Therefore 16t^2−80t+96=0
or 96 = h = 80t−16t^2
Option D