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A.With what vertical speed does the ball leave the ground (V yi)? Possible answers: +30 -30 +21 -21m/s B.With what vertical speed does the ball hit the ground (V yf)? Possible answers -30 +30 +21 -21m/s C.How much time is the ball in the air? Possible answers: 5.3s 3.3s 2.1s 4.3s D.What is the maximum height of the ball? 94.5m 10.5m 22.5m 47.5m

A.With what vertical speed does the ball leave the ground (V yi)? Possible answers: +30 -30 +21 -21m/s B.With what vertical speed does the ball hit the ground (V yf)? Possible answers -30 +30 +21 -21m/s C.How much time is the ball in the air? Possible answers: 5.3s 3.3s 2.1s 4.3s D.What is the maximum height of the ball? 94.5m 10.5m 22.5m 47.5m

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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A.With what vertical speed does the ball leave the ground (V yi)? Possible answers: +30 -30 +21 -21m/s B.With what vertical speed does the ball hit the ground (V yf)? Possible answers -30 +30 +21 -21m/s C.How much time is the ball in the air? Possible answers: 5.3s 3.3s 2.1s 4.3s D.What is the maximum height of the ball? 94.5m 10.5m 22.5m 47.5m
**Projectile Motion** *The Trajectory of a Kicked Football* ![Illustration of projectile motion of a football](insert-placeholder-url-here) In this illustration, a football is being kicked, demonstrating its path or trajectory through the air. The diagram shows the football at different points along its parabolic flight path. ### Key Points: 1. **Initial Kick**: - The ball is kicked with an initial speed of 37 meters per second (m/s) at an angle of 35 degrees above the horizontal plane. 2. **Parabolic Trajectory**: - The football follows a curved path, which is typical of projectile motion under the influence of gravity. - The highest point of the parabola represents the peak of the ball's flight. 3. **Horizontal and Vertical Components**: - The motion can be broken down into horizontal (constant velocity) and vertical (acceleration due to gravity) components. ### Analysis: - **Initial Velocity** (0 sec): The ball leaves the kicker's foot with a velocity directed at an angle of 35 degrees. - **Peak of Trajectory**: The football reaches the maximum height when the vertical component of its velocity becomes zero. - **Descent**: After reaching the peak, the ball descends, with the vertical component of the velocity increasing in the downward direction due to gravity, until it hits the ground. Understanding the trajectory of a kicked football can help us appreciate the factors that influence projectile motion. This knowledge is applicable in various sports and engineering contexts. *The ball is kicked at 37 m/s, 35° above the horizontal.*
Transcribed Image Text:**Projectile Motion** *The Trajectory of a Kicked Football* ![Illustration of projectile motion of a football](insert-placeholder-url-here) In this illustration, a football is being kicked, demonstrating its path or trajectory through the air. The diagram shows the football at different points along its parabolic flight path. ### Key Points: 1. **Initial Kick**: - The ball is kicked with an initial speed of 37 meters per second (m/s) at an angle of 35 degrees above the horizontal plane. 2. **Parabolic Trajectory**: - The football follows a curved path, which is typical of projectile motion under the influence of gravity. - The highest point of the parabola represents the peak of the ball's flight. 3. **Horizontal and Vertical Components**: - The motion can be broken down into horizontal (constant velocity) and vertical (acceleration due to gravity) components. ### Analysis: - **Initial Velocity** (0 sec): The ball leaves the kicker's foot with a velocity directed at an angle of 35 degrees. - **Peak of Trajectory**: The football reaches the maximum height when the vertical component of its velocity becomes zero. - **Descent**: After reaching the peak, the ball descends, with the vertical component of the velocity increasing in the downward direction due to gravity, until it hits the ground. Understanding the trajectory of a kicked football can help us appreciate the factors that influence projectile motion. This knowledge is applicable in various sports and engineering contexts. *The ball is kicked at 37 m/s, 35° above the horizontal.*
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