(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
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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
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