PLEASE ANSWER
If a ball is thrown upward at 29.4 meters per second from the top of a building that is 80 meters high, the height of the ball can be modeled by S=4.9t^2 + 29.4t + 80 meters, where t is the number of seconds after the ball is thrown. What is the ball's maximum height (in meters)?
The vertex is (1.5, 82.05) which gives you your time value of 1.5 seconds, and the max height value of 82.05. So the max height is 82.05 m and it reaches that height at 1.5 seconds.