Elisha Graves Otis invented the elevator brake in the mid- , making it possible to build tall skyscrapers with fast elevators. Today’s skyscrapers are a large fraction of a mile tall; for example. Taipei in Taiwan has stories and is ( miles) tall. The top speed of the elevator in the Taipei tower is roughly three times greater than the ascent rate of a commercial jet airplane. The position and time data in the table are based on such an elevator.
a. Working in SI units, make a position-versus-time graph for the elevator.
b. Describe the motion of the elevator in words.
c. Find the highest speed of the elevator. When is the elevator going at this speed?
d. What sort of considerations would the engineers need to make to ensure the comfort of the passengers?

Position (stories)

Time (s)

0.0
0

0.3
1

1.1
2

2.5
3

4.4
4

6.8
5

9.8
6

13.1
7

16.4
8

19.6
9

22.9
10

26.2
11

29.5
12

32.7
13

36.0
14

39.3
15

42.5
16

45.8
17

49.1
18

52.4
19

55.6
20

58.9
21

62.2
22

65.5
23

68.7
24

72.0
25

75.3
26

78.5
27

81.6
28

84.2
29

86.5
30

88.2
31

89.6
32

90.0
33

90.0
34

90.0
35

90.0
36

Question

Elisha Graves Otis invented the elevator brake in the mid- , making it possible to build tall skyscrapers with fast elevators. Today’s skyscrapers are a large fraction of a mile tall; for example. Taipei  in Taiwan has  stories and is  ( miles) tall. The top speed of the elevator in the Taipei  tower is roughly three times greater than the ascent rate of a commercial jet airplane. The position and time data in the table are based on such an elevator.
a. Working in SI units, make a position-versus-time graph for the elevator.
b. Describe the motion of the elevator in words.
c. Find the highest speed of the elevator. When is the elevator going at this speed?
d. What sort of considerations would the engineers need to make to ensure the comfort of the passengers?




 Position (stories)

  Time (s)



   0.0
  0


   0.3
  1


   1.1
  2


   2.5
  3


   4.4
  4


   6.8
  5


   9.8
  6


  13.1
  7


  16.4
  8


  19.6
  9


  22.9
 10


  26.2
 11


  29.5
 12


  32.7
 13


  36.0
 14


  39.3
 15


  42.5
 16


  45.8
 17


  49.1
 18


  52.4
 19


  55.6
 20


  58.9
 21


  62.2
 22


  65.5
 23


  68.7
 24


  72.0
 25


  75.3
 26


  78.5
 27


  81.6
 28


  84.2
 29


  86.5
 30


  88.2
 31


  89.6
 32


  90.0
 33


  90.0
 34


  90.0
 35


  90.0
 36

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Physics: Principles with Applications

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Position (stories)	Time (s)
0.0	0
0.3	1
1.1	2
2.5	3
4.4	4
6.8	5
9.8	6
13.1	7
16.4	8
19.6	9
22.9	10
26.2	11
29.5	12
32.7	13
36.0	14
39.3	15
42.5	16
45.8	17
49.1	18
52.4	19
55.6	20
58.9	21
62.2	22
65.5	23
68.7	24
72.0	25
75.3	26
78.5	27
81.6	28
84.2	29
86.5	30
88.2	31
89.6	32
90.0	33
90.0	34
90.0	35
90.0	36