Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
e 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 5 seconds. Solution The difficulty in finding the velocity after 5 seconds is that we are dealing with a single instant of time (-5), 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-tor-5.1. average velocity change in position time lapsed 8051)-83) 1

e 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 5 seconds. Solution The difficulty in finding the velocity after 5 seconds is that we are dealing with a single instant of time (-5), 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-tor-5.1. average velocity change in position time lapsed 8051)-83) 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
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 5 seconds. Solution The difficulty in finding the velocity after 5 seconds is that we are dealing with a single instant of time (t-5), 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 - 5 tot - 5.1. change in position average velocity passic.com time clapsed Time interval V- 5sts6 m/s. The following table shows the results of similar calculations of the average velocity over successively smaller time periods. 5sts 5.1 5sts 5.05 - 5sts 5.01 5sts 5.001 s(5.1)-(5) 0.1 4.9 Average velocity (m/s) 53.9 49.245 49.049 0.1 49.0049 It appears that as we shorten the time period, the average velocity is becoming closer to m/s m/s (rounded to one decimal place). The instantaneous velocity when - 5 is defined to be the limiting value of these average velocities over shorter and shorter time periods that start at t-5. Thus the (instantaneous) velodity after 5s is the following. (Round your answer to one decimal place.)
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 5 seconds. Solution The difficulty in finding the velocity after 5 seconds is that we are dealing with a single instant of time (t-5), 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 - 5 tot - 5.1. change in position average velocity passic.com time clapsed Time interval V- 5sts6 m/s. The following table shows the results of similar calculations of the average velocity over successively smaller time periods. 5sts 5.1 5sts 5.05 - 5sts 5.01 5sts 5.001 s(5.1)-(5) 0.1 4.9 Average velocity (m/s) 53.9 49.245 49.049 0.1 49.0049 It appears that as we shorten the time period, the average velocity is becoming closer to m/s m/s (rounded to one decimal place). The instantaneous velocity when - 5 is defined to be the limiting value of these average velocities over shorter and shorter time periods that start at t-5. Thus the (instantaneous) velodity after 5s is the following. (Round your answer to one decimal place.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 8 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS