Answer:
a) s = -16 + 192t + 96
 + 192t + 96
b) Height of the football after 2 seconds is 448 feet.
ii. The football would not hit the ground after 2 seconds.
Step-by-step explanation:
Given: 
s = -16 +
 +  t +
t + 
where: s is the height of the football above the ground, t is the time,  is the initial velocity and
 is the initial velocity and  is the initial height.
 is the initial height.
The height of the building =  = 192 feet and the initial speed of the ball =
 = 192 feet and the initial speed of the ball =  = 96 feet per second, then;
 = 96 feet per second, then;
s = -16 + 192t + 96
 + 192t + 96
a) The polynomial is given as:
s = -16 + 192t + 96
 + 192t + 96
b) The height of the football when t = 2 seconds is;
s = -16(2) + 192(2) + 96
  = -32 + 384 + 96
  = -32 + 480
s = 448 
The height of the football when t = 2 seconds is 448 feet.
ii. The football would not hit the ground after 2 seconds.