(a) Use the data to estimate the following. h′(5.5)= 42.89 ft/sec h′(6)= 42.06 ft/sec h′(6.5)= 35.11 ft/sec (b) At which of these times is the bungee jumper rising most rapidly? at t=5.5 at t=6 at t=6.5 (c) Use the given data and your work in (a) to approximate h''(6) looking for part c
(a) Use the data to estimate the following. h′(5.5)= 42.89 ft/sec h′(6)= 42.06 ft/sec h′(6.5)= 35.11 ft/sec (b) At which of these times is the bungee jumper rising most rapidly? at t=5.5 at t=6 at t=6.5 (c) Use the given data and your work in (a) to approximate h''(6) looking for part c
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
A bungee jumper's height h (in feet) at time t (in seconds) is given in part by the data in the table:
t | h(t) |
---|---|
0 | 200 |
0.5 | 187.88 |
1 | 163.98 |
1.5 | 132.94 |
2 | 100 |
2.5 | 70.2 |
3 | 47.62 |
3.5 | 34.9 |
4 | 32.97 |
4.5 | 41.09 |
5 | 57.11 |
5.5 | 77.92 |
6 | 100 |
6.5 | 119.98 |
7 | 135.11 |
7.5 | 143.64 |
8 | 144.93 |
8.5 | 139.49 |
9 | 128.75 |
9.5 | 114.8 |
10 | 100 |
(a) Use the data to estimate the following.
h′(5.5)= 42.89 ft/sec
h′(6)= 42.06 ft/sec
h′(6.5)= 35.11 ft/sec
(b) At which of these times is the bungee jumper rising most rapidly?
- at t=5.5
- at t=6
- at t=6.5
(c) Use the given data and your work in (a) to approximate h''(6)
looking for part c
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 2 images
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,