Question

a ball is being shot at a moving hoop. the curved line labeled b(s) maps the path of the ball and the line labeled h(s) maps the path of the hoop. how long does it take for the ball to go down through the hoop to the nearest second?

Explanation:

Step1: Understand the problem

We need to find the time it takes for the ball to go down through the hoop. This corresponds to the \(x\) - value (time) when the two paths (the ball's path \(h(s)\) and the hoop's path \(b(s)\)) intersect.

Step2: Identify the intersection point

From the graph, the intersection point of the two curves (the path of the ball \(h(s)\) and the path of the hoop \(b(s)\)) is given as \((17.906,8)\). The first coordinate of the point \((x,y)\) in a time - distance graph represents time.

Answer:

\(17.906\) seconds