A ball is kicked off the roof of a building. Its height above the ground, given in feet, seconds after it is kicked, is represented by the equation .
- At what height is the ball when it is kicked? Explain or show your reasoning.
- At what height is the ball 2 seconds after it is kicked? Explain or show your reasoning.
- What does it mean for the situation when ?
- What does it mean for the situation when ?
- Graph the function.
- Approximate the number of seconds after the ball is kicked when it will hit the ground. Explain how you know.
- Approximate the number of seconds after the ball is kicked when it will reach its highest point. Explain how you know.
- Approximate the number of seconds after the ball is kicked when it will reach its starting height again. Explain how you know.
- Write an equation that represents the exact moment when the ball hits the ground.