(e) Using your work above and this picture of the graph of the function y(t) given below, answer these true/false questions: (Type in the word "True" or "False") 30 25 20 15 10 5 4 10 The top of the ladder is moving down the wall at a constant rate O T O F The foot of the ladder is moving along the ground at a constant rate O T O F There is a time at which the average velocity of the top of the ladder on the time interval [a,9] is 1 ft/sec O T O F There is a time at which the average velocity of the top of the ladder on the time interval [a,9] is 0 ft/sec O T O F There is a time at which the average velocity of the top of the ladder on the time interval [a,9] is -100 ft/sec OT O F There is a time at which the average velocity of the top of the ladder on the time interval [a,9] is less than -100 ft/sec O T O F

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)...
icon
Related questions
Question

Hello.

I would like help with part E of the problem in the images attached. Using the information given from parts A through D, as well as the graph of function y(t), is it true that there is a time at which the average velocity of the top of the ladder on the time interval [a, 9] is the following in ft/sec: 1, 0, -100, less than -100?

A ladder 25 feet long is leaning against the wall of a building. Initially, the foot of the ladder is 7 feet from the wall. The foot of the ladder begins to slide
at a rate of 2 ft/sec, causing the top of the ladder to slide down the wall. The location of the foot of the ladder at time t seconds is given by the
parametric equations (7+2t,0).
wall
25 ft. ladder
ground
7 ft
(a) The location of the top of the ladder will be given by parametric equations (0,y(t)). The formula for y(t)= V -412 – 281 + 576
(Put your cursor in the box, click and a palette will come up to help you enter your symbolic answer.)
(b) The domain of t values for y(t) ranges from 0
to 9
(c) Calculate the average velocity of the top of the ladder on each of these time intervals (correct to three decimal places):
time interval
ave velocity
time interval
ave velocity
[0,2]
-0.775
[2,4]
|-1.225
[6,8]
-3.225
[8,9]
-9.798
(d) Find a time interval [a,9] so that the average velocity of the top of the ladder on this time interval is -20 ft/sec i.e. a= 8.752
Transcribed Image Text:A ladder 25 feet long is leaning against the wall of a building. Initially, the foot of the ladder is 7 feet from the wall. The foot of the ladder begins to slide at a rate of 2 ft/sec, causing the top of the ladder to slide down the wall. The location of the foot of the ladder at time t seconds is given by the parametric equations (7+2t,0). wall 25 ft. ladder ground 7 ft (a) The location of the top of the ladder will be given by parametric equations (0,y(t)). The formula for y(t)= V -412 – 281 + 576 (Put your cursor in the box, click and a palette will come up to help you enter your symbolic answer.) (b) The domain of t values for y(t) ranges from 0 to 9 (c) Calculate the average velocity of the top of the ladder on each of these time intervals (correct to three decimal places): time interval ave velocity time interval ave velocity [0,2] -0.775 [2,4] |-1.225 [6,8] -3.225 [8,9] -9.798 (d) Find a time interval [a,9] so that the average velocity of the top of the ladder on this time interval is -20 ft/sec i.e. a= 8.752
(e) Using your work above and this picture of the graph of the function y(t) given below, answer these true/false questions: (Type in the word
"True" or "False")
30
25
20
15
10
5
10
The top of the ladder is moving down the wall at a constant rate
O F
The foot of the ladder is moving along the ground at a constant rate
O T
There is a time at which the average velocity of the top of the ladder on the time interval [a,9] is 1 ft/sec
От
O F
There is a time at which the average velocity of the top of the ladder on the time interval [a,9] is 0 ft/sec
O T
O F
There is a time at which the average velocity of the top of the ladder on the time interval [a,9] is -100 ft/sec
От
F
There is a time at which the average velocity of the top of the ladder on the time interval [a,9] is less than -100 ft/sec
От
O F
Transcribed Image Text:(e) Using your work above and this picture of the graph of the function y(t) given below, answer these true/false questions: (Type in the word "True" or "False") 30 25 20 15 10 5 10 The top of the ladder is moving down the wall at a constant rate O F The foot of the ladder is moving along the ground at a constant rate O T There is a time at which the average velocity of the top of the ladder on the time interval [a,9] is 1 ft/sec От O F There is a time at which the average velocity of the top of the ladder on the time interval [a,9] is 0 ft/sec O T O F There is a time at which the average velocity of the top of the ladder on the time interval [a,9] is -100 ft/sec От F There is a time at which the average velocity of the top of the ladder on the time interval [a,9] is less than -100 ft/sec От O F
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Relativistic speed and time
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
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