The rocket's height increases from launch (t=0) to 1.5 seconds. So, the interval is (0, 1.5).
The graph shows that the rocket's height increases rapidly from t=0 to t=1.5 seconds. After that, the rocket's height starts to decrease.
The rocket's height increases when the graph moves up and to the right. From the graph, we can see that the rocket's height is increasing from t=0 to t=1.5 seconds. Therefore, the interval for which the rocket's height is increasing is (0, 1.5).
In other words, the rocket's height is increasing for the first 1.5 seconds after it is launched. After that, the rocket's height starts to decrease.
There are a few reasons why the rocket's height starts to decrease after 1.5 seconds. First, the rocket's engine is no longer firing. Second, the rocket is experiencing drag from the air. Third, the rocket is being pulled down by gravity.
The rocket's height will continue to decrease until it hits the ground. The time it takes for the rocket to hit the ground will depend on the rocket's initial velocity and the angle at which it was launched.
The graph of the rocket's height can be used to calculate several things, such as the rocket's maximum height, the time it takes for the rocket to reach its maximum height, and the time it takes for the rocket to hit the ground. The graph can also be used to compare the performance of different rockets.