Question

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The x-axis is labeled time in seconds and ranges from 0 to 24 in increments of 2. The y-axis is labeled distance in meters and ranges from 0 to 16 in increments of 1. The parabola begins at approximately left parenthesis 0 comma 5 right parenthesis and continues to a vertex at approximately left parenthesis 10 comma 13 right parenthesis before ending at approximately left parenthesis 23 comma 0 right parenthesis. The dotted line runs horizontally at y equals 8. The parabola and the line intersect at the labeled point left parenthesis 17.906 comma 8 right parenthesis.


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?

(1 point)
Responses

8 seconds
8 seconds

17.9 seconds
17.9 seconds

18 seconds
18 seconds

17 seconds
17 seconds
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Answer 1

18 seconds

The ball's path b(s) intersects the hoop's height h(s)=8 at t ≈ 17.906 s, which rounds to 18 seconds.