A group of physics students launched a rocket in a field at their school. They recorded the time it took for the rocket to launch into the air and come back to the ground. They calculated their average time for their rocket to land to be 12.74 seconds.
1. How long did the rocket take to reach max height?

2. What is the velocity of the rocket at max height?

3. What is the initial velocity of the rocket?

4. What was the maximum height of the rocket?