Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
A gazelle is grazing under a tree. At time t = 0 seconds, a cheetah, 100 m to the left of the tree, sees the gazelle and begins a chase. The following is a graph of the velocity of the cheetah's pursuit: 60- 40- 20- 10 12 -20- -40- -60- The cheetah's velocity fits the equation: v(t) = 0.1(t + 1)(t – 8)(t - 20) = 0.1(t3 – 27t2 + 132t + 160) %3D %3D where t is the time in seconds in the range 0

A gazelle is grazing under a tree. At time t = 0 seconds, a cheetah, 100 m to the left of the tree, sees the gazelle and begins a chase. The following is a graph of the velocity of the cheetah's pursuit: 60- 40- 20- 10 12 -20- -40- -60- The cheetah's velocity fits the equation: v(t) = 0.1(t + 1)(t – 8)(t - 20) = 0.1(t3 – 27t2 + 132t + 160) %3D %3D where t is the time in seconds in the range 0

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
A gazelle is grazing under a tree. At time t 0 seconds, a cheetah, 100 m to the left of the tree, sees the gazelle and begins a chase. The following is a graph of the velocity of the cheetah's pursuit: 60- 40- 20- 10 12 -20- -40- -60- The cheetah's velocity fits the equation: v(t) = 0.1(t + 1)(t- 8)(t - 20) = 0.1(t3 - 27t2 + 132t + 160) %3D where t is the time in seconds in the range 0 <t s 10. The cheetah captures the gazelle time t = 10 seconds. Assume the cheetah runs in a straight line. i) What distance did the cheetah run during the 10 second chase? ii) The graph shows the cheetah reached maximum velocity at some time between time t=2 and t=D4 seconds. At what time exactly did the cheetah reach this maximum velocity (to 1 DP)?
Transcribed Image Text:A gazelle is grazing under a tree. At time t 0 seconds, a cheetah, 100 m to the left of the tree, sees the gazelle and begins a chase. The following is a graph of the velocity of the cheetah's pursuit: 60- 40- 20- 10 12 -20- -40- -60- The cheetah's velocity fits the equation: v(t) = 0.1(t + 1)(t- 8)(t - 20) = 0.1(t3 - 27t2 + 132t + 160) %3D where t is the time in seconds in the range 0 <t s 10. The cheetah captures the gazelle time t = 10 seconds. Assume the cheetah runs in a straight line. i) What distance did the cheetah run during the 10 second chase? ii) The graph shows the cheetah reached maximum velocity at some time between time t=2 and t=D4 seconds. At what time exactly did the cheetah reach this maximum velocity (to 1 DP)?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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