) How many miles did chloe travel from time t=0 to time t=2 b)at time t=3, is chloes speed increasing or decreasing? give a reason for your awnser  c)Is there a time t, for 0≤t≤4 at wich brandons acceleration is equal to 2.5 miles per hour? justify your awnser  d) is there a time for 0≤t≤2 at wich brandons velocity is equal to chloes velocity? justify your awnser

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 22T
icon
Related questions
icon
Concept explainers
Topic Video
Question

a) How many miles did chloe travel from time t=0 to time t=2

b)at time t=3, is chloes speed increasing or decreasing? give a reason for your awnser 

c)Is there a time t, for 0≤t≤4 at wich brandons acceleration is equal to 2.5 miles per hour? justify your awnser 

d) is there a time for 0≤t≤2 at wich brandons velocity is equal to chloes velocity? justify your awnser 

Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the
decimal point.
Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers a for which f (x) is a real number.
0 1 2 3
4
(hours)
B (t)
(miles per hour)
18 1.5 -5 11
Brandon and Chloe ride their bikes for 4 hours along a flat, straight road. Brandon's velocity, in miles per hour, at time t hours is given by a differentiable function B for 0 <t < 4.
Values of B (t) for selected times t are given in the table above. Chloe's velocity, in miles per hour, at time t hours is given by the piecewise function C defined by
S tet-e
( 12 – 3t – t2 for 2 <t < 4.
for 0 <t<2
C (t)
Transcribed Image Text:Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point. Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers a for which f (x) is a real number. 0 1 2 3 4 (hours) B (t) (miles per hour) 18 1.5 -5 11 Brandon and Chloe ride their bikes for 4 hours along a flat, straight road. Brandon's velocity, in miles per hour, at time t hours is given by a differentiable function B for 0 <t < 4. Values of B (t) for selected times t are given in the table above. Chloe's velocity, in miles per hour, at time t hours is given by the piecewise function C defined by S tet-e ( 12 – 3t – t2 for 2 <t < 4. for 0 <t<2 C (t)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning