A ball is kicked from a location (7, 0, -6) (on the ground) with initial velocity (-10, 17, -6) m/s. The ball's speed is low enough that air resistance is negligible. (a) What is the velocity of the ball 0.5 seconds after being kicked? (Use the Momentum Principle!) V m/s x (b) In this situation (constant force), which velocity will give the most accurate value for the location of the ball 0.5 seconds after it is kicked? the arithmetic average of the initial and final velocities O the final velocity of the ball O the initial velocity of the ball (c) What is the average velocity of the ball over this time interval? Vavg= m/s (d) Use the average velocity to find the location of the ball 0.5 seconds after being kicked. i- m
A ball is kicked from a location (7, 0, -6) (on the ground) with initial velocity (-10, 17, -6) m/s. The ball's speed is low enough that air resistance is negligible. (a) What is the velocity of the ball 0.5 seconds after being kicked? (Use the Momentum Principle!) V m/s x (b) In this situation (constant force), which velocity will give the most accurate value for the location of the ball 0.5 seconds after it is kicked? the arithmetic average of the initial and final velocities O the final velocity of the ball O the initial velocity of the ball (c) What is the average velocity of the ball over this time interval? Vavg= m/s (d) Use the average velocity to find the location of the ball 0.5 seconds after being kicked. i- m
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
Related questions
Question
![A ball is kicked from a location (7, 0, -6) (on the ground) with initial velocity (-10, 17, -6) m/s. The ball's speed is low enough that air resistance is negligible.
(a) What is the velocity of the ball 0.5 seconds after being kicked? (Use the Momentum Principle!)
✓ =
m/s
X
(b) In this situation (constant force), which velocity will give the most accurate value for the location of the ball 0.5 seconds after it is kicked?
O the arithmetic average of the initial and final velocities
O the final velocity of the ball
O the initial velocity of the ball
(c) What is the average velocity of the ball over this time interval?
Vavg =
m/s
(d) Use the average velocity to find the location of the ball 0.5 seconds after being kicked.
Now consider a different time interval: the interval between the initial kick and the moment when the ball reaches its highest point. We want to find how long it takes for the ball to reach this point, and how high the ball goes.
(e) What is the y-component of the ball's velocity at the instant when the ball reaches its highest point (the end of this time interval)?
Vyf =
m/s
(f) Fill in the missing numbers in the equation below (update form of the Momentum Principle: mvyf = myyj + Fnet, yat).
m
+ -mgAt
m
(g) How long does it take for the ball to reach its highest point?
At =
S
(h) Knowing this time, first find the y-component of the average velocity during this time interval, then use it to find the maximum height attained by the ball.
Ymax =
m
Now take a moment to reflect on the reasoning used to solve this problem. You should be able to do a similar problem on your own, without prompting. Note that the only equations needed were the Momentum Principle and the expression for the
arithmetic average velocity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6eaa0d26-3625-40e2-8c10-5a420445e3c6%2F00a14535-e021-46f9-a10f-ff57526e264c%2Ftf94smd_processed.png&w=3840&q=75)
Transcribed Image Text:A ball is kicked from a location (7, 0, -6) (on the ground) with initial velocity (-10, 17, -6) m/s. The ball's speed is low enough that air resistance is negligible.
(a) What is the velocity of the ball 0.5 seconds after being kicked? (Use the Momentum Principle!)
✓ =
m/s
X
(b) In this situation (constant force), which velocity will give the most accurate value for the location of the ball 0.5 seconds after it is kicked?
O the arithmetic average of the initial and final velocities
O the final velocity of the ball
O the initial velocity of the ball
(c) What is the average velocity of the ball over this time interval?
Vavg =
m/s
(d) Use the average velocity to find the location of the ball 0.5 seconds after being kicked.
Now consider a different time interval: the interval between the initial kick and the moment when the ball reaches its highest point. We want to find how long it takes for the ball to reach this point, and how high the ball goes.
(e) What is the y-component of the ball's velocity at the instant when the ball reaches its highest point (the end of this time interval)?
Vyf =
m/s
(f) Fill in the missing numbers in the equation below (update form of the Momentum Principle: mvyf = myyj + Fnet, yat).
m
+ -mgAt
m
(g) How long does it take for the ball to reach its highest point?
At =
S
(h) Knowing this time, first find the y-component of the average velocity during this time interval, then use it to find the maximum height attained by the ball.
Ymax =
m
Now take a moment to reflect on the reasoning used to solve this problem. You should be able to do a similar problem on your own, without prompting. Note that the only equations needed were the Momentum Principle and the expression for the
arithmetic average velocity.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Glencoe Physics: Principles and Problems, Student…](https://www.bartleby.com/isbn_cover_images/9780078807213/9780078807213_smallCoverImage.gif)
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![Glencoe Physics: Principles and Problems, Student…](https://www.bartleby.com/isbn_cover_images/9780078807213/9780078807213_smallCoverImage.gif)
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![Classical Dynamics of Particles and Systems](https://www.bartleby.com/isbn_cover_images/9780534408961/9780534408961_smallCoverImage.gif)
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
![Physics for Scientists and Engineers, Technology …](https://www.bartleby.com/isbn_cover_images/9781305116399/9781305116399_smallCoverImage.gif)
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning