Question

a rocket is launched in the air. the graph below shows the height of the rocket h in feet after t seconds. what is the rockets greatest height? answer attempt 1 out of 3 feet submit answer

Explanation:

Step1: Identify the vertex

The graph of the rocket's height is a parabola, and the vertex of the parabola represents the maximum point (since the parabola opens downward). The vertex is given as the point \((18.5, 5476)\).

Step2: Determine the greatest height

In the coordinate \((t, h)\) where \(t\) is time in seconds and \(h\) is height in feet, the \(y\)-coordinate (or the second value in the ordered pair) represents the height. So, the height at the vertex (maximum height) is the \(h\)-value of the vertex.

Answer:

5476