Question

a rocket is launched in the air. the graph below shows the height of the rocket h in feet after t seconds. how many seconds have gone by when the rocket is at its highest point?

Explanation:

Step1: Analyze the graph

The graph of the rocket's height \(h\) versus time \(t\) is a parabola. The highest point of a parabola (in this case, the vertex) gives the maximum height of the rocket.

Step2: Identify the vertex coordinates

From the graph, the vertex of the parabola is at the point \((19.5,6084)\). In the coordinate pair \((t,h)\), the first value represents time \(t\).

Answer:

\(19.5\) seconds.