Question

caroline throws a ball up in the air. the graph below shows the height of the ball ( h ) in meters after ( t ) seconds. how many seconds have gone by when the ball is at its highest point?

Explanation:

Step1: Identify the vertex of the parabola

The graph of the ball's height is a parabola, and the highest point (maximum height) is the vertex of the parabola. The vertex is given as the point \((1.5, 11.025)\).

Step2: Determine the time at the highest point

In the vertex \((t, h)\), the \(t\)-coordinate represents the time (in seconds) when the ball is at its highest height. So, the \(t\)-coordinate of the vertex is \(1.5\).

Answer:

\(1.5\)