A vehicle accelerates from rest, and the time it takes to reach the speed v, is given by the following relation: dv J 5-2 v0.22 where t is time in seconds [s], and v is speed in meters per second [m/s]. (3-a) Determine the time it takes to reach the speed of 50 m/s, numerically. To achieve this, you must use the Mid-ordinate Rule and the Simpson's Rule, each with 10 intervals. Show all steps by hand for full consideration of the work.
A vehicle accelerates from rest, and the time it takes to reach the speed v, is given by the following relation: dv J 5-2 v0.22 where t is time in seconds [s], and v is speed in meters per second [m/s]. (3-a) Determine the time it takes to reach the speed of 50 m/s, numerically. To achieve this, you must use the Mid-ordinate Rule and the Simpson's Rule, each with 10 intervals. Show all steps by hand for full consideration of the work.
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
Question
Using the Mid-ordinate method. You should show all steps.
Expert Solution
Step 1
Here we have to calculate the time taken by the vehicle to reach the speed of 50m/s
That is
we use Mid-ordinate and Simpson rule to evaluate the given integral.
Step by step
Solved in 6 steps with 4 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,