6. A projectile was launched vertically upward with an initial speed of 30.0 m/s from the ground. Find the time it takes to get to the maximum height. Find the maximum height of the projectile. b. Find its position 2 seconds later. When is the speed of the projectile V = -30m/s
6. A projectile was launched vertically upward with an initial speed of 30.0 m/s from the ground. Find the time it takes to get to the maximum height. Find the maximum height of the projectile. b. Find its position 2 seconds later. When is the speed of the projectile V = -30m/s
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)...
Related questions
Question
Practice Pack
Can you please answer this question and all of the sub problems and show all of the work
![### Problem 6: Vertical Projectile Motion
A projectile was launched vertically upward with an initial speed of 30.0 m/s from the ground. The following queries should be addressed:
#### a. Find the maximum height of the projectile.
#### b. Find its position 2 seconds later.
#### c. Determine when the speed of the projectile is \( V = -30 \, \mathrm{m/s} \).
#### Relevant Equations:
1. \( v_f - v_i = -gt \)
2. \( y = v_i t - \frac{1}{2} g t^2 \)
Where:
- \( v_f \) is the final velocity
- \( v_i \) is the initial velocity
- \( g \) is the acceleration due to gravity (approximately 9.8 m/s²)
- \( t \) is the time
- \( y \) is the displacement
#### Calculations:
**a. Maximum Height**
- At maximum height, the final velocity \( v_f = 0 \).
**b. Position 2 Seconds Later**
- Use the second equation to find the displacement at \( t = 2 \) seconds.
**c. Speed of the Projectile When \( V = -30 \, \mathrm{m/s} \)**
- Use the first equation to solve for \( t \).
These steps provide a comprehensive method to analyze the motion of a projectile launched vertically.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffcf36abc-8605-434b-b2ea-6d36e2b820c0%2F90f0e8c3-c32c-4532-bbce-ba0aa3b519ff%2Fg2atvuv.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 6: Vertical Projectile Motion
A projectile was launched vertically upward with an initial speed of 30.0 m/s from the ground. The following queries should be addressed:
#### a. Find the maximum height of the projectile.
#### b. Find its position 2 seconds later.
#### c. Determine when the speed of the projectile is \( V = -30 \, \mathrm{m/s} \).
#### Relevant Equations:
1. \( v_f - v_i = -gt \)
2. \( y = v_i t - \frac{1}{2} g t^2 \)
Where:
- \( v_f \) is the final velocity
- \( v_i \) is the initial velocity
- \( g \) is the acceleration due to gravity (approximately 9.8 m/s²)
- \( t \) is the time
- \( y \) is the displacement
#### Calculations:
**a. Maximum Height**
- At maximum height, the final velocity \( v_f = 0 \).
**b. Position 2 Seconds Later**
- Use the second equation to find the displacement at \( t = 2 \) seconds.
**c. Speed of the Projectile When \( V = -30 \, \mathrm{m/s} \)**
- Use the first equation to solve for \( t \).
These steps provide a comprehensive method to analyze the motion of a projectile launched vertically.
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!
Includes step-by-step video
Trending now
This is a popular solution!
Learn your way
Includes step-by-step video
Step by step
Solved in 3 steps with 3 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
![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
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![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
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON