varuvaru (vividkun)

Race #6705

View Pit Stop page for race #6705 by vividkun — Ghost race

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Official speed 101.68 wpm (101.97 seconds elapsed during race)
Without ending ping 101.85 wpm (173 ms delay sending score to TypeRacer’s server)
Timerless 102.80 wpm (937 ms elapsed before first character typed; 100.86 seconds elapsed during race)
Timerless minus one 102.68 wpm, ignoring the first character typed
Race Start November 6, 2023 12:55:23pm UTC
Race Finish November 6, 2023 12:57:05pm UTC
Outcome No win (3 of 5)
Opponents 1. umm_eran (103.77 wpm)
2. thelastmuffin (103.11 wpm)
4. elagon (101.12 wpm)
Accuracy 96.7%
Points 274.54
Text #4940058 (Length: 864 characters)

Calculus is a tool that helps us understand how a change in one quantity is related to a change in another. How does the speed of a falling object change as a function of time? How does the level of water in a barrel change as a function of the amount of liquid poured into it? We see change occurring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slope of a curve at a point P on the curve. We give precise developments of these important concepts in the next chapter, but for now we use an informal approach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Characters typed Calculus is a tooll that that helps us understand how a change in one quanitttity is related to a change in another. how How deso the oes the speed of a falling object change as a function of time? How does the leve lf ol of water in a barreel chl change as a function of the amount of liquid poured into it? We see change occurring in earnearlyt ev everything we observe in the worl dnad d and universe, and powerful modern instruments help us see more and more. In this sectino we on we introduce the ideas of average and instanteaneous rates of change, and show that they are closely related tot hes the slop eoe of a cruveurve at a point P on the curve. We give precise developments of these important concept ss in the next chapter, but for now we use an informal approach so you will see how they elad lead naturally to the main idea of this hcapchapter, the limit. The idea of a limit plays a foundational role throughout claalcululssus.
Timing
Character C a l c u l u s i s a t o o l l t h a t -t
Milliseconds 937 192 81 94 92 151 84 81 67 65 101 52 93 76 79 40 133 105 167 31 101 68 36 119 160
Character -a -h -t - -l t h a t h e l p s u s u n d e r
Milliseconds 104 106 106 109 97 115 142 47 97 62 23 67 143 51 145 82 100 47 115 111 87 140 67 144 95
Character s t a n d h o w a c h a n g e i n o n e
Milliseconds 120 65 47 55 73 79 66 88 39 163 55 123 86 46 125 9 97 31 50 87 67 53 75 58 55
Character q u a n i t t -t -t -i t i t y i s r e l a t e
Milliseconds 72 89 45 131 42 119 90 182 159 101 99 109 83 109 147 46 74 111 66 107 61 91 27 67 46
Character d t o a c h a n g e i n a n o t h e r .
Milliseconds 157 52 75 58 93 39 103 105 56 114 30 109 53 52 93 31 86 60 88 45 78 79 64 95 71
Character h o w - -w -o -h H o w d e s o t h e - -e -h
Milliseconds 71 226 74 98 114 169 92 111 102 233 159 101 92 81 160 35 52 68 62 41 44 107 135 116 100
Character -t - -o -s -e o e s t h e s p e e d o f a f
Milliseconds 113 104 121 101 118 210 78 56 84 110 8 99 68 107 106 95 145 163 72 288 63 67 80 58 140
Character a l l i n g o b j e c t c h a n g e a s a
Milliseconds 40 72 138 63 54 70 48 72 93 90 414 187 129 52 147 58 89 47 94 17 130 37 84 70 96
Character f u n c t i o n o f t i m e ? H o w d o
Milliseconds 65 80 89 131 68 161 12 90 0 103 74 130 39 143 58 51 80 261 59 195 66 63 111 51 118
Character e s t h e l e v e l f o -o - -f -l - l o f
Milliseconds 55 73 109 65 39 67 66 101 49 118 66 101 58 125 73 24 206 110 107 117 111 181 80 122 0
Character w a t e r i n a b a r r e e l c h -h -c -
Milliseconds 478 116 67 58 132 61 75 76 63 63 27 139 52 208 111 193 6 168 93 62 117 105 203 94 114
Character -l -e l c h a n g e a s a f u n c t i o n
Milliseconds 117 97 204 61 135 65 76 55 76 41 98 60 75 68 81 79 92 89 141 53 139 36 66 0 111
Character o f t h e a m o u n t o f l i q u i d p
Milliseconds 65 176 22 154 10 97 80 127 56 118 94 149 56 22 64 95 46 130 129 159 76 83 89 65 150
Character o u r e d i n t o i t ? W e s e e c h a
Milliseconds 0 131 555 101 152 62 66 70 138 502 90 168 120 341 105 198 150 180 72 34 148 88 112 50 93
Character n g e o c c u r r i n g i n e a r -r -a -e n e
Milliseconds 61 85 46 86 72 71 145 89 86 165 92 63 81 68 57 55 86 87 64 95 267 109 102 163 86
Character a r l y t e v -v -e - -t e v e r y t h i n g w
Milliseconds 72 32 79 96 12 48 106 93 213 109 94 114 110 66 79 151 69 76 68 93 61 81 46 101 63
Character e o b s e r v e i n t h e w o r l d n a
Milliseconds 54 100 19 100 260 147 87 244 58 116 87 61 65 33 80 79 83 95 66 76 70 107 25 84 11
Character d - -d -a -n -d - d a n d u n i v e r s e , a
Milliseconds 137 0 223 123 94 108 103 100 44 109 19 30 144 32 134 148 64 62 155 59 147 66 90 49 666
Character n d p o w e r f u l m o d e r n i n s t r u
Milliseconds 55 96 32 117 59 68 36 64 159 34 126 85 227 50 82 165 56 52 36 204 64 82 44 169 46
Character m e n t s h e l p u s s e e m o r e a n
Milliseconds 169 100 48 99 65 67 174 156 103 131 47 95 99 111 63 105 166 31 102 38 83 64 40 82 9
Character d m o r e . I n t h i s s e c t i n o w
Milliseconds 93 46 95 41 93 27 112 113 303 479 70 100 46 54 43 102 144 45 209 138 42 36 36 83 84
Character e - -e -w - -o -n o n w e i n t r o d u c e t
Milliseconds 46 101 283 226 373 130 104 111 201 92 83 63 52 83 108 79 42 137 95 116 83 110 41 98 53
Character h e i d e a s o f a v e r a g e a n d i
Milliseconds 38 80 62 126 41 152 79 88 92 76 88 72 115 107 149 61 89 106 60 63 53 50 92 33 186
Character n s t a n t e -e a n e o u s r a t e s o f c
Milliseconds 190 186 79 63 87 114 96 615 160 72 335 212 64 120 43 152 83 77 62 72 39 43 108 63 184
Character h a n g e , a n d s h o w t h a t t h e y
Milliseconds 111 89 51 132 59 69 60 49 61 38 100 107 50 29 94 84 81 91 35 77 87 26 124 59 116
Character a r e c l o s e l y r e l a t e d t o t
Milliseconds 55 45 70 44 160 85 81 117 51 34 120 50 113 102 23 131 45 46 73 170 133 42 101 53 30
Character h e s - -s -e -h - -t t h e s l o p e o -o -e -
Milliseconds 100 5 182 0 234 101 105 105 109 107 80 54 82 44 118 78 62 144 61 112 89 34 332 101 99
Character e o f a c r u v e -e -v -u -r u r v e a t a
Milliseconds 87 58 92 79 95 36 117 26 151 0 213 41 229 110 94 117 159 41 199 17 118 97 90 38 137
Character p o i n t P o n t h e c u r v e . W e
Milliseconds 49 247 19 93 199 99 116 195 251 123 74 67 40 69 53 86 113 84 44 202 34 96 60 136 224
Character g i v e p r e c i s e d e v e l o p m e n t
Milliseconds 158 111 89 98 49 106 47 130 119 230 89 92 54 164 76 156 112 89 72 199 83 189 87 78 88
Character s o f t h e s e i m p o r t a n t c o n c
Milliseconds 61 59 55 97 80 95 50 92 80 104 97 141 80 156 32 120 149 73 29 88 113 92 78 56 61
Character e p t s -s - s i n t h e n e x t c h a p
Milliseconds 174 72 71 120 22 392 100 109 28 105 71 53 36 85 49 101 91 54 187 114 119 112 78 122 40
Character t e r , b u t f o r n o w w e u s e a
Milliseconds 115 131 54 61 99 58 104 65 85 89 87 96 66 76 44 99 100 135 80 344 122 114 48 103 139
Character n i n f o r m a l a p p r o a c h s o y o
Milliseconds 36 87 88 66 91 106 76 88 119 482 102 199 82 113 109 62 90 90 68 86 163 83 57 62 76
Character u w i l l s e e h o w t h e y e l a d
Milliseconds 77 40 66 82 109 114 87 42 62 205 160 95 34 104 68 147 41 109 69 53 99 8 52 106 90
Character - -d -a -l -e l e a d n a t u r a l l y t o t h
Milliseconds 241 109 106 107 116 202 47 49 117 88 48 108 61 101 93 69 93 126 63 66 110 30 76 53 47
Character e m a i n i d e a o f t h i s h c a p -p
Milliseconds 60 82 102 120 70 48 76 94 0 165 67 134 73 92 81 71 43 54 89 64 59 58 149 13 356
Character -a -c -h c h a p t e r , t h e l i m i t . T h
Milliseconds 100 114 117 114 88 80 77 121 143 74 41 65 42 54 46 94 57 59 123 114 157 87 79 160 87
Character e i d e a o f a l i m i t p l a y s a
Milliseconds 105 127 45 80 153 77 43 78 78 94 44 137 74 62 88 114 90 74 60 56 100 75 88 92 78
Character f o u n d a t i o n a l r o l e t h r o u g
Milliseconds 104 79 48 58 143 73 61 73 70 65 0 131 83 77 134 69 136 55 88 84 83 80 79 55 149
Character h o u t c l a -a -l a l c u l u l s -s -l -u s -s u s
Milliseconds 86 214 38 100 64 142 115 35 395 109 182 148 173 91 167 216 118 64 421 125 85 91 466 589 166
Character .
Milliseconds 116
WPM Timing
Seconds WPM
2.04 70.61
4.08 61.78
6.12 88.26
8.16 100.03
10.2 103.56
12.24 105.92
14.28 94.99
16.31 93.41
18.35 95.46
20.39 100.62
22.43 103.78
24.47 98.56
26.51 97.32
28.55 97.93
30.59 100.82
32.63 100.03
34.67 98.65
36.71 99.71
38.75 97.86
40.79 99.44
42.83 98.35
44.87 98.16
46.9 99.26
48.94 101.01
50.98 101.21
53.02 98
55.06 99.6
57.1 100.45
59.14 99.02
61.18 100.82
63.22 102.69
65.26 101.32
67.3 100.39
69.34 99.69
71.38 100.2
73.42 100.36
75.46 100.99
77.49 100.81
79.53 101.69
81.57 102.24
83.61 102.19
85.65 102.83
87.69 102.09
89.73 103.11
91.77 102.52
93.81 103.36
95.85 104.29
97.89 104.81
99.93 103.39
101.97 101.68