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You are walking around your neighborhood and see a child on top of a roof of a building kick a soccer ball. The soccer ball is kicked at an angle of 47.0° from the horizontal edge of the building with an initial velocity of 17.0 m/s (labeled v. in picture). The ball lands at a horizontal distance 67.0 m from the wall. How tall is the building (labeled yo) from which the ball is thrown? {Consider determining the time for the ball to land)

You are walking around your neighborhood and see a child on top of a roof of a building kick a soccer ball. The soccer ball is kicked at an angle of 47.0° from the horizontal edge of the building with an initial velocity of 17.0 m/s (labeled v. in picture). The ball lands at a horizontal distance 67.0 m from the wall. How tall is the building (labeled yo) from which the ball is thrown? {Consider determining the time for the ball to land)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Problem Description You are walking around your neighborhood and see a child on top of a roof of a building kick a soccer ball. The soccer ball is kicked at an angle of 47.0° from the horizontal edge of the building with an initial velocity of 17.0 m/s (labeled \( v_0 \) in the picture). The ball lands at a horizontal distance 67.0 m from the wall. How tall is the building (labeled \( y_0 \)) from which the ball is thrown? (Consider determining the time for the ball to land) ### Diagram Explanation In the diagram, a child is situated on top of a building, represented as a yellow rectangular structure with two windows. The ball follows a parabolic trajectory after being kicked from the edge of the roof. The trajectory is illustrated with a dashed curve, indicating both horizontal and vertical motion. The angle of projection is marked as 47.0° with respect to the horizontal axis. The position where the ball lands is a certain horizontal distance from the wall of the building. ### Multiple Choice Options - 106 m - 74.6 m - 84.5 m - 91.8 m - 53.3 m ### Notes To solve this problem, consider using kinematic equations for projectile motion. The horizontal distance and initial velocity can help determine the time of flight, which can then be used to find the height of the building.
Transcribed Image Text:### Problem Description You are walking around your neighborhood and see a child on top of a roof of a building kick a soccer ball. The soccer ball is kicked at an angle of 47.0° from the horizontal edge of the building with an initial velocity of 17.0 m/s (labeled \( v_0 \) in the picture). The ball lands at a horizontal distance 67.0 m from the wall. How tall is the building (labeled \( y_0 \)) from which the ball is thrown? (Consider determining the time for the ball to land) ### Diagram Explanation In the diagram, a child is situated on top of a building, represented as a yellow rectangular structure with two windows. The ball follows a parabolic trajectory after being kicked from the edge of the roof. The trajectory is illustrated with a dashed curve, indicating both horizontal and vertical motion. The angle of projection is marked as 47.0° with respect to the horizontal axis. The position where the ball lands is a certain horizontal distance from the wall of the building. ### Multiple Choice Options - 106 m - 74.6 m - 84.5 m - 91.8 m - 53.3 m ### Notes To solve this problem, consider using kinematic equations for projectile motion. The horizontal distance and initial velocity can help determine the time of flight, which can then be used to find the height of the building.
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