Three balls (1, 2, 3) roll on the surface of a table at different speeds (V₁, V₂, V3). If the balls fall from the table at teh same time and follow the parabolic trajectories shown below, which ball takes longer to land? O O O O b n d All three balls land simultaneously. 2 1 3
Three balls (1, 2, 3) roll on the surface of a table at different speeds (V₁, V₂, V3). If the balls fall from the table at teh same time and follow the parabolic trajectories shown below, which ball takes longer to land? O O O O b n d All three balls land simultaneously. 2 1 3
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
Concept explainers
Topic Video
Question

Transcribed Image Text:**Question:**
Three balls (1, 2, 3) roll on the surface of a table at different speeds (\(v_1, v_2, v_3\)). If the balls fall from the table at the same time and follow the parabolic trajectories shown below, which ball takes longer to land?
**Image Description:**
Three parabolic trajectories are shown originating from a horizontal surface (table) to the ground. Each parabola represents the path of one ball:
- Ball 1 (with speed \(v_1\)) follows the leftmost trajectory.
- Ball 2 (with speed \(v_2\)) follows the middle trajectory.
- Ball 3 (with speed \(v_3\)) follows the rightmost trajectory.
The parabolas indicate that the initial horizontal speed of each ball is different, but they follow the same vertical drop distance.
**Options:**
- a) All three balls land simultaneously.
- b) 2
- c) 1
- d) 3 (selected)
From the parabolic paths, it is noted that:
- Ball 1 (left trajectory, \(v_1\)) has the shortest horizontal range.
- Ball 2 (middle trajectory, \(v_2\)) has a moderate horizontal range.
- Ball 3 (right trajectory, \(v_3\)) has the longest horizontal range.
Since all balls fall from the same height, the only factor affecting the time to land is their vertical motion, which is independent of their horizontal velocities. Therefore, **all three balls land simultaneously**.
The correct answer is **a) All three balls land simultaneously**.
Expert Solution

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 2 steps

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
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON