For this case we have the following polynomials:
[tex]h1 (t) = -16t ^ 2 + 150t
h2 (t) = -16t ^ 2 + 165t[/tex]
We evaluate the polynomials for the moment of the explosion, t = 6:
[tex]h1 (6) = -16 * (6) ^ 2 + 150 * (6) = 324
h2 (6) = -16 * (6) ^ 2 + 165 * (6) = 414[/tex]
Then, the height difference is given by:
[tex]h2 (6) - h1 (6) = 414 - 324 = 90 feet
[/tex]
Answer:
90 feet
Option C
