To determine how long it takes for the ball to go down through the hoop, we would typically need to analyze the point of intersection between the solid parabola \( b(s) \) and the dotted line \( h(s) \). However, since I can't see the image or any mathematical functions from the coordinate plane, I can’t provide a specific answer based on the visual information.
If there is numerical data or coordinates provided in the question, you would look for the point where the two paths intersect and analyze the time coordinate to get the answer. If you're choosing from given responses, you might need to consider the context or any additional information provided in the question.
Please refer back to the graph to find the intersection point or any relevant time information. If you can describe the graph or provide more details, I can help you interpret it!