The data was collected at 100 frames/second. Calculate the velocity and acceleration for each of the joints for the X(horizontal)coordinate. Also, graph the displacement of all three joints (ankle, knee and hip) for the Y (vertical) coordinate

Medical Terminology for Health Professions, Spiral bound Version (MindTap Course List)
8th Edition
ISBN:9781305634350
Author:Ann Ehrlich, Carol L. Schroeder, Laura Ehrlich, Katrina A. Schroeder
Publisher:Ann Ehrlich, Carol L. Schroeder, Laura Ehrlich, Katrina A. Schroeder
Chapter4: The Muscular System
Section: Chapter Questions
Problem 52LE: The movement during which the knees or elbows are bent to decrease the angle of the joints is known...
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The data was collected at 100 frames/second. Calculate the velocity and acceleration for each of the joints for the X(horizontal)coordinate. Also, graph the displacement of all three joints (ankle, knee and hip) for the Y (vertical) coordinate

 

FRAME R.
R.
FRAME R.
R.
#
ANKLE | KNEE
R. HIP
ANKLE KNEE
R. HIP
X
ст
cm
cm
cm
ст
cm
59.4
91.3
91.1
75.8
42.7
14.3
13.8
54.7
54.5
1
76.9
61.4
44.8
1
2
78.1
47.2
2
91
63.8
66.5
13.3
79.3
80.5
54.4
54.4
54.4
3
49.9
52.8
12.7
90.9
4
69.4
4
12.2
90.9
72.4
11.8
11.5
54.5
81.7
82.7
55.9
91
6.
75.4
58.9
6.
54.6
91.2
83.5
78.2
80.7
7
61.8
11.3
54.7
91.5
91.8
8
84.1
64.6
8
11.1
54.8
92.1
92.5
9.
84.5
82.9
67.2
11
54.9
10
84.8
84.8
69.7
10
11
54.9
11
84.9
86.4
72.1
11
11
54.9
92.8
12
84.9
87.6
74.3
54.9
54.8
93.2
93.6
94
94.4
94.7
12
11
13
84.9
88.7
76.5
13
11
14
84.9
89.6
78.6
14
54.7
11.1
11.1
15
84.9
90.4
80.7
15
54.7
54.6
16
85
91.1
82.7
16
11.1
17
85
91.7
84.6
17
11.1
54.6
95
18
85.1
92.3
86.5
88.3
90.1
18
11.2
54.5
95.2
19
92.9
11.2
54.5
95.3
85.2
85.3
85.5
19
20
93.5
20
11.3
11.3
54.4
95.4
95.4
21
94.1
91.9
21
54.4
22
85.6
94.7
11.4
54.3
54.3
54.3
54.3
54.3
95.4
95.4
93.6
22
23
85.7
95.4
95.4
23
11.4
24
85.9
24
95.2
96.1
96.8
97.6
97.2
11.5
25
26
86
99
25
11.6
11.7
11.9
12.1
12.4
12.7
95.1
86.1
100.9
26
94.9
86.2
98.4
102.8
54.3
54.3
27
27
94.8
94.7
28
86.3
99.3
104.8
28
29
100.3
101.4
102.7
104.1
105.8
106.8
108.9
111
113.2
115.5
117.8
120.2
29
86.4
86.6
54.4
94.5
94.3
94.2
30
30
31
54.4
54.4
31
86.8
13.1
32
87.1
54.4
32
33
13.6
94
33
87.6
14.1
54.4
93.8
34
34
14.6
15.3
54.4
54.3
93.6
88.1
88.8
107.6
35
109.8
35
93.4
Transcribed Image Text:FRAME R. R. FRAME R. R. # ANKLE | KNEE R. HIP ANKLE KNEE R. HIP X ст cm cm cm ст cm 59.4 91.3 91.1 75.8 42.7 14.3 13.8 54.7 54.5 1 76.9 61.4 44.8 1 2 78.1 47.2 2 91 63.8 66.5 13.3 79.3 80.5 54.4 54.4 54.4 3 49.9 52.8 12.7 90.9 4 69.4 4 12.2 90.9 72.4 11.8 11.5 54.5 81.7 82.7 55.9 91 6. 75.4 58.9 6. 54.6 91.2 83.5 78.2 80.7 7 61.8 11.3 54.7 91.5 91.8 8 84.1 64.6 8 11.1 54.8 92.1 92.5 9. 84.5 82.9 67.2 11 54.9 10 84.8 84.8 69.7 10 11 54.9 11 84.9 86.4 72.1 11 11 54.9 92.8 12 84.9 87.6 74.3 54.9 54.8 93.2 93.6 94 94.4 94.7 12 11 13 84.9 88.7 76.5 13 11 14 84.9 89.6 78.6 14 54.7 11.1 11.1 15 84.9 90.4 80.7 15 54.7 54.6 16 85 91.1 82.7 16 11.1 17 85 91.7 84.6 17 11.1 54.6 95 18 85.1 92.3 86.5 88.3 90.1 18 11.2 54.5 95.2 19 92.9 11.2 54.5 95.3 85.2 85.3 85.5 19 20 93.5 20 11.3 11.3 54.4 95.4 95.4 21 94.1 91.9 21 54.4 22 85.6 94.7 11.4 54.3 54.3 54.3 54.3 54.3 95.4 95.4 93.6 22 23 85.7 95.4 95.4 23 11.4 24 85.9 24 95.2 96.1 96.8 97.6 97.2 11.5 25 26 86 99 25 11.6 11.7 11.9 12.1 12.4 12.7 95.1 86.1 100.9 26 94.9 86.2 98.4 102.8 54.3 54.3 27 27 94.8 94.7 28 86.3 99.3 104.8 28 29 100.3 101.4 102.7 104.1 105.8 106.8 108.9 111 113.2 115.5 117.8 120.2 29 86.4 86.6 54.4 94.5 94.3 94.2 30 30 31 54.4 54.4 31 86.8 13.1 32 87.1 54.4 32 33 13.6 94 33 87.6 14.1 54.4 93.8 34 34 14.6 15.3 54.4 54.3 93.6 88.1 88.8 107.6 35 109.8 35 93.4
36
89.7
112.2
114.9
122.8
36
16
54.2
93.1
37
90.8
92.1
93.7
95.6
125.4
37
16.8
53.9
53.6
92.9
92.6
38
118
128.1
38
17.6
39
121.3
130.9
39
18.6
53.2
92.2
125
129
133.7
19.7
52.8
91.9
91.7
40
40
41
97.9
136.6
20.9
52.4
41
42
43
44
42
100.6
133.2
139.4
22.1
52
91.4
43
103.7
137.6
142.2
142.3
23.4
51.7
51.5
91.3
91.2
91.2
91.4
44
107.1
145.1
24.6
45
110.9
146.8
147.8
45
25.6
51.5
46
115.1
151.3
150.4
46
26.3
51.6
47
48
51.9
52.4
119.5
155.8
153
47
48
49
26.8
91.6
124.2
160.2
155.5
26.8
26.5
92
49
129.1
164.4
158
53.1
92.4
134.2
139.6
145.2
50
168.4
160.5
50
25.8
53.8
54.5
92.9
93.4
93.9
51
172.3
162.9
51
24.7
52
175.9
165.4
52
23.4
55.2
53
151
179.4
167.8
53
22
55.9
94.3
54
157
182.8
170.1
54
20.4
56.5
94.7
55
163.2
185.9
172.4
55
18.8
57
94.9
56
169.6
56
17.3
57.4
188.9
191.7
194.4
174.7
95.1
57
176
177
179.2
57
16
57.6
58
59
60
95.2
95.2
95.2
95
182.5
58
14.9
57.7
57.7
57.6
188.9
196.9
181.3
59
14
13.3
195.3
199.3
183.5
60
61
201.4
207.3
201.5
185.6
61
13
57.3
94.8
62
203.7
187.8
62
12.8
57
94.6
63
212.7
205.9
190
63
12.9
94.2
56.7
56.3
55.9
64
192.2
217.8
222.3
226.3
229.7
208.1
64
13
93.8
194.5
65
66
65
93.5
210.4
212.8
13.2
197
13.4
55.5
55.2
55
54.8
66
93.1
67
215.2
199.5
67
13.4
92.7
232.6
217.9
202.1
13.3
92.4
92.1
91.9
68
68
69
234.9
220.6
204.8
69
13.1
70
236.8
223.3
226.1
228.8
207.5
70
12.7
54.6
238.3
210.3
12.2
11.8
54.4
54.3
91.7
71
72
71
239.5
240.5
213.1
72
91.6
91.6
73
231.5
215.9
73
11.3
54.3
Transcribed Image Text:36 89.7 112.2 114.9 122.8 36 16 54.2 93.1 37 90.8 92.1 93.7 95.6 125.4 37 16.8 53.9 53.6 92.9 92.6 38 118 128.1 38 17.6 39 121.3 130.9 39 18.6 53.2 92.2 125 129 133.7 19.7 52.8 91.9 91.7 40 40 41 97.9 136.6 20.9 52.4 41 42 43 44 42 100.6 133.2 139.4 22.1 52 91.4 43 103.7 137.6 142.2 142.3 23.4 51.7 51.5 91.3 91.2 91.2 91.4 44 107.1 145.1 24.6 45 110.9 146.8 147.8 45 25.6 51.5 46 115.1 151.3 150.4 46 26.3 51.6 47 48 51.9 52.4 119.5 155.8 153 47 48 49 26.8 91.6 124.2 160.2 155.5 26.8 26.5 92 49 129.1 164.4 158 53.1 92.4 134.2 139.6 145.2 50 168.4 160.5 50 25.8 53.8 54.5 92.9 93.4 93.9 51 172.3 162.9 51 24.7 52 175.9 165.4 52 23.4 55.2 53 151 179.4 167.8 53 22 55.9 94.3 54 157 182.8 170.1 54 20.4 56.5 94.7 55 163.2 185.9 172.4 55 18.8 57 94.9 56 169.6 56 17.3 57.4 188.9 191.7 194.4 174.7 95.1 57 176 177 179.2 57 16 57.6 58 59 60 95.2 95.2 95.2 95 182.5 58 14.9 57.7 57.7 57.6 188.9 196.9 181.3 59 14 13.3 195.3 199.3 183.5 60 61 201.4 207.3 201.5 185.6 61 13 57.3 94.8 62 203.7 187.8 62 12.8 57 94.6 63 212.7 205.9 190 63 12.9 94.2 56.7 56.3 55.9 64 192.2 217.8 222.3 226.3 229.7 208.1 64 13 93.8 194.5 65 66 65 93.5 210.4 212.8 13.2 197 13.4 55.5 55.2 55 54.8 66 93.1 67 215.2 199.5 67 13.4 92.7 232.6 217.9 202.1 13.3 92.4 92.1 91.9 68 68 69 234.9 220.6 204.8 69 13.1 70 236.8 223.3 226.1 228.8 207.5 70 12.7 54.6 238.3 210.3 12.2 11.8 54.4 54.3 91.7 71 72 71 239.5 240.5 213.1 72 91.6 91.6 73 231.5 215.9 73 11.3 54.3
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