Question

A parabola labeled upper D left parenthesis s right parenthesis and a dotted line labeled upper T left parenthesis s right parenthesis intersect on a coordinate plane.
Clarissa is throwing a lawn dart down through a target. The curved line D(s) represents the path of the lawn dart and the line T(s) represents the height of the target. How long to the nearest second will it take the dart to go down through the hoop?

(1 point)
Responses

13.122 seconds
13.122 seconds

14 seconds
14 seconds

5 seconds
5 seconds

13 seconds

Answer 1

To determine how long it will take for the lawn dart to intersect the target, you would need to solve the equations of the parabola \( D(s) \) and the line \( T(s) \) to find their intersection points. The timing will then be based on the \( s \) value at the point of intersection.

Without the specific equations or additional details about \( D(s) \) and \( T(s) \), I can't provide a definitive answer. However, if you have the equations or additional information on the heights and their intersection points, I can help you solve it.

From the options you've given, if we assume that you've already calculated or it was determined that the closest intersection time is approximately 13.122 seconds, then that would be your answer.

If the parabola intersects the target line at one of the other times like 14 seconds, 5 seconds, or 13 seconds, you would choose accordingly based on your calculations or the provided data.

If you have specific equations, feel free to share them, and I can assist you further!