Homework Help is Here – Start Your Trial Now!
Science
Physics
Suppose that a ball is dropped from the upper observation deck of the CN Tower in Toronto, 450 m above the ground. Find the velocity of the ball after 3 seconds. Solution The difficulty in finding the velocity after 3 seconds is that we are dealing with a single instant of time (t3), so no time interval is involved. However, we can approximate the desired quaneity by computing the average velocity over the brief time interval of a tenth of a second from t-3 to t3.1. average velocity- Change in position time elapseed a.1)-s(3) 0.1 4.9 0.1 m/s. The following table shows the results of similar calculations of the average velocity over successively smaller time periods. Time Average velocity (m/s) interval 3sts4 34.3 47 3sts3.1 29.89 asts3.05 29.645 asts 3.01 29.449 3sts3.001 29.4049 Thus the (instantaneous) velocity after 3 s is the following m/s (rounded to one decimal place). The instantaneous velocity whent3is defined to be the limiting value of these average velocities over shorter and shorter time periods that It appears that as we shorten the time period, the average velocity is becoming closer to (Round your answer to one decimal place.) m/s

Suppose that a ball is dropped from the upper observation deck of the CN Tower in Toronto, 450 m above the ground. Find the velocity of the ball after 3 seconds. Solution The difficulty in finding the velocity after 3 seconds is that we are dealing with a single instant of time (t3), so no time interval is involved. However, we can approximate the desired quaneity by computing the average velocity over the brief time interval of a tenth of a second from t-3 to t3.1. average velocity- Change in position time elapseed a.1)-s(3) 0.1 4.9 0.1 m/s. The following table shows the results of similar calculations of the average velocity over successively smaller time periods. Time Average velocity (m/s) interval 3sts4 34.3 47 3sts3.1 29.89 asts3.05 29.645 asts 3.01 29.449 3sts3.001 29.4049 Thus the (instantaneous) velocity after 3 s is the following m/s (rounded to one decimal place). The instantaneous velocity whent3is defined to be the limiting value of these average velocities over shorter and shorter time periods that It appears that as we shorten the time period, the average velocity is becoming closer to (Round your answer to one decimal place.) m/s

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)...
See similar textbooks
icon
Related questions
Question
100%

Pls help ASAP. Pls show work.

Suppose that a ball is dropped from the upper observation deck of the CN Tower in Toronto, 450 m above the ground. Find the velocity of the ball after 3 seconds. Solution The difficulty in finding the velocity after 3 seconds is that we are dealing with a single instant of time (t = 3), so no time interval is involved. However, we can approximate the desired quantity by computing the average velocity over the brief time interval of a tenth of a second from t= 3 to t= 3.1. change in position time elapsed average velocity = s(3.1)-s(3) 0.1 4(口 0.1 m/s. The following table shows the results of similar calculations of the average velocity over successively smaller time periods. Time Average velocity (m/s) interval 3sts4 34.3 3St5 3.1 29.89 3sts 3.05 29.645 3Sts 3.01 29.449 3 Sts 3.001 29.4049 m/s (rounded to one decimal place). The instantaneous velocity when t=3 is defined to be the limiting value of these average velocities over shorter and shorter time periods that start at t=3. Thus the (instantaneous) velodity after 3sis the following. It appears that as we shorten the time period, the average velocity is becoming cioser to (Round your answer to one decimal place.) %3D m/s
Transcribed Image Text:Suppose that a ball is dropped from the upper observation deck of the CN Tower in Toronto, 450 m above the ground. Find the velocity of the ball after 3 seconds. Solution The difficulty in finding the velocity after 3 seconds is that we are dealing with a single instant of time (t = 3), so no time interval is involved. However, we can approximate the desired quantity by computing the average velocity over the brief time interval of a tenth of a second from t= 3 to t= 3.1. change in position time elapsed average velocity = s(3.1)-s(3) 0.1 4(口 0.1 m/s. The following table shows the results of similar calculations of the average velocity over successively smaller time periods. Time Average velocity (m/s) interval 3sts4 34.3 3St5 3.1 29.89 3sts 3.05 29.645 3Sts 3.01 29.449 3 Sts 3.001 29.4049 m/s (rounded to one decimal place). The instantaneous velocity when t=3 is defined to be the limiting value of these average velocities over shorter and shorter time periods that start at t=3. Thus the (instantaneous) velodity after 3sis the following. It appears that as we shorten the time period, the average velocity is becoming cioser to (Round your answer to one decimal place.) %3D m/s
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Relativistic Energy and momentum
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS