Saran is a well known golfer in Klang. He would like to enhance his swinging skill to improve his gameplay. Therefore, he decided to monitor his swinging strength by recording the speed of the travelling golf balls as he swings. The following table shows the data on the travelling speed of the golf ball for 3 trials for a particular time. Time (s) 4 6 10 12 14 Trial 1 (m/s) 17.5 18.5 19.9 21.6 20.3 19.0 18.4 Trial 2 (m/s) 16.7 17.1 19.0 20.1 20.0 19.8 17.2 Trial 3 (m/s) 17.3 17.5 19.8 21.0 20.1 19.9 18.4 Based on the average travelling speed from the 3 trials, use numerical differentiation formula of 0(h?) only to estimate the instantaneous acceleration in m/s², of the ball at each time. (Note : use only centered finite-divided difference for all intermediate points).
Saran is a well known golfer in Klang. He would like to enhance his swinging skill to improve his gameplay. Therefore, he decided to monitor his swinging strength by recording the speed of the travelling golf balls as he swings. The following table shows the data on the travelling speed of the golf ball for 3 trials for a particular time. Time (s) 4 6 10 12 14 Trial 1 (m/s) 17.5 18.5 19.9 21.6 20.3 19.0 18.4 Trial 2 (m/s) 16.7 17.1 19.0 20.1 20.0 19.8 17.2 Trial 3 (m/s) 17.3 17.5 19.8 21.0 20.1 19.9 18.4 Based on the average travelling speed from the 3 trials, use numerical differentiation formula of 0(h?) only to estimate the instantaneous acceleration in m/s², of the ball at each time. (Note : use only centered finite-divided difference for all intermediate points).
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
Transcribed Image Text:Exercise 1
Saran is a well known golfer in Klang. He would like to enhance his swinging skill to
improve his gameplay. Therefore, he decided to monitor his swinging strength by
recording the speed of the travelling golf balls as he swings. The following table shows the
data on the travelling speed of the golf ball for 3 trials for a particular time.
Time (s)
2
I
4
6
8
10
12
14
Trial 1 (m/s)
17.5
18.5
19.9
21.6
20.3
19.0
18.4
Trial 2 (m/s)
16.7
17.1
19.0
20.1
20.0
19.8
17.2
Trial 3 (m/s)
17.3
17.5
19.8
21.0
20.1
19.9
18.4
Based on the average travelling speed from the 3 trials, use numerical differentiation
formula of 0(h?) only to estimate the instantaneous acceleration in m/s², of the ball at
each time. (Note : use only centered finite-divided difference for all intermediate points).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
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,
