2. When Mr. Smith kicks a football, it has a vertical speed of 20m/s, and its height, h, inmetres after t seconds can be modeled by the equation h =

- 5t² + 20t a) What is the maximum height of the football? [Hint: Change to vertex form] b) How long does it take to reach the height identified in a)?[Hint: Use standard form] c) How long is the football in the air? [Hint: Use standard form] d) Sketch the relation and label the axes appropriately.