4. A computer animator is trying to make an animation of a rabbit rushing back and forth along a sidewalk. He decides to model the rabbit's velocity over time as shown in the following graph, where time is measured in seconds and velocity is measured in meters per second. velocity 3 Ampl 3 21 -14 -3 -4 <-5 2 time 9 10

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
icon
Concept explainers
Topic Video
Question
4. A computer animator is trying to make an animation of a rabbit rushing back and forth along a
sidewalk. He decides to model the rabbit's velocity over time as shown in the following graph, where
time is measured in seconds and velocity is measured in meters per second.
velocity
3
2
1
777749
-24
-4
-5
3 4
8
9
time
10
(Here, positive velocities indicate that the rabbit is heading east; negative velocities indicate that the
rabbit is heading west.)
(a) Suppose the rabbit starts at a position we'll call 0. Sketch a rough graph of the rabbit's position
as a function of time on the interval [0, 10]. We do not expect your graph to be perfect, but it
should accurately show whether the graph is increasing or decreasing and whether it is concave
up or concave down.
(b) At time 0, there was a squirrel sitting 2 meters east of the rabbit. Suppose that the squirrel's
velocity on [0, 10] is given by the same graph shown above. On your graph from (a), also sketch
the squirrel's position as a function of time.
(c) Write an equation describing the relationship between the rabbit's position function r(t) and the
squirrel's position function s(t).
Transcribed Image Text:4. A computer animator is trying to make an animation of a rabbit rushing back and forth along a sidewalk. He decides to model the rabbit's velocity over time as shown in the following graph, where time is measured in seconds and velocity is measured in meters per second. velocity 3 2 1 777749 -24 -4 -5 3 4 8 9 time 10 (Here, positive velocities indicate that the rabbit is heading east; negative velocities indicate that the rabbit is heading west.) (a) Suppose the rabbit starts at a position we'll call 0. Sketch a rough graph of the rabbit's position as a function of time on the interval [0, 10]. We do not expect your graph to be perfect, but it should accurately show whether the graph is increasing or decreasing and whether it is concave up or concave down. (b) At time 0, there was a squirrel sitting 2 meters east of the rabbit. Suppose that the squirrel's velocity on [0, 10] is given by the same graph shown above. On your graph from (a), also sketch the squirrel's position as a function of time. (c) Write an equation describing the relationship between the rabbit's position function r(t) and the squirrel's position function s(t).
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Displacement, velocity and acceleration
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