2.4 A Quadratic Model Suppose a small rocket is fired up in a small airless planet and the height of the rocket (in meters) is given by h(t) = -1.5t2 + 25t + 1.8, at t seconds after it was launched.1. When will the ball hit the ground (level 0)? Use algebra to solve. 2. When will the ball be at the highest height? 3. Give the maximum height attained by the ball. 4. When will the ball have a height of (a) 50 meters? (b) 85 meters? (c) 120 meters? 5. Sketch a rough graph of the height function using the information that you have from parts 1, 2, and 3