A place-kicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 20.6 m/s at an angle of 46.0° to the horizontal. (a) By how much does the ball cleår or fall short (vertically) of clearing the crossbar? (Enter a negative answer if it falls short.) (b) Does the ball approach the crossbar (and cross above or beneath it) while still rising or while falling? O rising O falling

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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### Projectile Motion: Football Kick Analysis

In this exercise, we analyze the trajectory of a football kicked by a place-kicker. The football is kicked from a point 36.0 meters (approximately 40 yards) away from the goal. The goal is marked by a crossbar that is 3.05 meters high. The ball is kicked with an initial speed of 20.6 meters per second at an angle of 46.0 degrees to the horizontal.

#### Questions:
(a) **By how much does the ball clear or fall short (vertically) of clearing the crossbar?** (Input a negative value if the ball falls short.)

____ m

(b) **Does the ball approach the crossbar (and cross above or beneath) while still rising or while falling?**

- rising
- falling

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This problem involves evaluating the projectile motion of the football to determine if and when it clears the specified height of the crossbar. The trajectory of the football is influenced by its initial speed and the angle at which it is kicked. By breaking down the motion into its vertical and horizontal components, we can determine the vertical position of the ball at the horizontal distance of the goal.

**Note:** There are no graphs or diagrams associated with this question in the provided image.
Transcribed Image Text:### Projectile Motion: Football Kick Analysis In this exercise, we analyze the trajectory of a football kicked by a place-kicker. The football is kicked from a point 36.0 meters (approximately 40 yards) away from the goal. The goal is marked by a crossbar that is 3.05 meters high. The ball is kicked with an initial speed of 20.6 meters per second at an angle of 46.0 degrees to the horizontal. #### Questions: (a) **By how much does the ball clear or fall short (vertically) of clearing the crossbar?** (Input a negative value if the ball falls short.) ____ m (b) **Does the ball approach the crossbar (and cross above or beneath) while still rising or while falling?** - rising - falling **Need Help?** - [Read It]() - [Master It]() This problem involves evaluating the projectile motion of the football to determine if and when it clears the specified height of the crossbar. The trajectory of the football is influenced by its initial speed and the angle at which it is kicked. By breaking down the motion into its vertical and horizontal components, we can determine the vertical position of the ball at the horizontal distance of the goal. **Note:** There are no graphs or diagrams associated with this question in the provided image.
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