Two trains are travelling towards each other, one heading north at a constant speed of u m/s and the other heading south at a constant speed of v m/s. When the trains are a distance d m apart, a fly leaves the North bound train at a constant speed of w m/s. As soon as it reaches the other train it instantly turns back travelling at w m/s in the other direction. Show that the fly meets the south bound train having travelled a distance of wd/(w+v), and returns to the North bound train when the train has travelled a distance of 2uwd/[(w+v)(w+u)]
Two trains are travelling towards each other, one heading north at a constant speed of u m/s and the other heading south at a constant speed of v m/s. When the trains are a distance d m apart, a fly leaves the North bound train at a constant speed of w m/s. As soon as it reaches the other train it instantly turns back travelling at w m/s in the other direction. Show that the fly meets the south bound train having travelled a distance of wd/(w+v), and returns to the North bound train when the train has travelled a distance of 2uwd/[(w+v)(w+u)]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Topic Video
Question
100%
Two trains are travelling towards each other, one heading north at a constant speed of u m/s and the other heading south at a constant speed of v m/s. When the trains are a distance d m apart, a fly leaves the North bound train at a constant speed of w m/s. As soon as it reaches the other train it instantly turns back travelling at w m/s in the other direction.
Show that the fly meets the south bound train having travelled a distance of wd/(w+v), and returns to the North bound train when the train has travelled a distance of 2uwd/[(w+v)(w+u)]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
