Question

a rocket is launched in the air. the graph below shows the height of the rocket h in meters after t seconds. what is the rocket’s greatest height?

Explanation:

Step1: Identify the vertex of the graph

The graph of the rocket's height is a parabola - like curve. The vertex of a parabola represents the maximum or minimum value. For a rocket's height - time graph, the vertex gives the maximum height.

Step2: Read the y - coordinate of the vertex

The vertex of the given graph is the point $(23, 2592.1)$. The y - coordinate of the vertex represents the height of the rocket.

Answer:

2592.1 meters