The height $h$ (in feet) of object A after $t$ seconds is given by the equation $h = 80t – 16t^{2}$. The height of object B is given by the graph below.

1. Which object was in the air longer? How long was this object in the air?

   Hint 1(a):

   Find the $x$-intercepts for object A to determine how long it was in the air.

   Hint 2(a):

   Object A was in the air for $5$ seconds.

2. Which object traveled higher? How high did it travel?

   Hint (b):

   Average the $x$-intercepts for object A to find the vertex.

3. For what times is the height of object A higher than $64$ feet?

   Hint (c):

   Solve $80t−16t^2>64$

   Answer (c):

   $1<t<4$

4. In the context of this problem, what domain is reasonable for the function that describes object A?

   Hint (d):

   For what values of $t$ is the ball on or above the ground?