**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**