### Home > INT3 > Chapter 11 > Lesson 11.2.1 > Problem11-62

11-62.

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 at right.

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

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

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

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

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?

Solve $80t−16t^2>64$

$1

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

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