(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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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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