Mesa stands on a balcony and throws a ball to her dog, who is at ground level. The ball's height (in meters) $x$ seconds after Mesa threw it is modeled by the equation $y=-x^2+6x+7$.
- What is the ball's height after 5 seconds?
_____ meters
- What is the rate of change for the interval 2 to 5 seconds?
_____ meters per second