such is life (smileyyy___)

Race #1540

View Pit Stop page for race #1540 by smileyyy___ — Ghost race

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Official speed 78.85 wpm (131.49 seconds elapsed during race)
Without ending ping 78.78 wpm (-118 ms delay sending score to TypeRacer’s server)
Timerless 79.03 wpm (421 ms elapsed before first character typed; 131.19 seconds elapsed during race)
Timerless minus one 78.94 wpm, ignoring the first character typed
Race Start November 19, 2023 7:46:57am UTC
Race Finish November 19, 2023 7:49:09am UTC
Outcome No win (4 of 5)
Opponents 1. neko_kat (113.16 wpm)
2. wlkvr (94.52 wpm)
3. leas_celyn (87.24 wpm)
Accuracy 95.3%
Points 212.91
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 cCalculus is a tool that helps us understand how a chanege in one qunaantity is relaeted to a chaner ge chanbgge in another., How doees s the speed of a falling object change as a funcition of time? How does the level of water in a barrel change as a function of the amuount of liquied pioured into it? We see change ooccccuring ring in nearly everything we obseverrver in the world and iunuyununiverse, and powerdfufpowerfukl ll modern instruments hlep help us see more and more. In this section we introduce the ideas of average and instantaneous rates of chnaange, and show that theya r are clseosely reallated to the slope of a uccucurver at a point P on the curver. We give precidese dveeevelopments of these important t=cconscepts in the next hchapter, but for newow we use an fiminfomrmal appraoaoarch so youy wi will see hwoew they lead naturally into the main idea of this chapter, the limit. The idea of a limit plays a foundational rolse e rtthroughout claclacllclylulu.s/.
Timing
Character c -c C a l c u l u s i s a t o o l t h a t
Milliseconds 421 388 71 159 85 246 121 159 179 76 111 106 135 148 68 85 125 49 110 107 145 103 76 76 68
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 51 106 91 92 69 91 75 107 111 80 150 52 32 76 99 118 110 81 60 72 94 91 58 108 67
Character a c h a n e -e g e i n o n e q u n a -a -n a
Milliseconds 67 99 62 114 77 75 223 243 40 68 41 108 43 57 208 57 99 70 416 106 184 118 283 85 75
Character n t i t y i s r e l a e -e t e d t o a c
Milliseconds 74 117 101 150 182 89 111 84 117 173 218 234 201 174 251 58 66 117 76 148 31 92 134 135 100
Character h a n e r - -r g e -c -h -a -n -e -g -e - c h a n b g
Milliseconds 67 94 39 141 0 59 233 91 61 65 63 226 0 0 0 0 0 0 0 352 76 63 71 15 134
Character -g -b g e i n a n o t h e r . , - -, H o w
Milliseconds 267 149 93 72 78 92 50 75 92 124 33 66 117 43 40 119 10 107 292 97 242 177 173 92 109
Character d o e e s - -s -e s t h e s p e e d o f a
Milliseconds 49 167 9 184 64 68 317 109 89 111 66 117 76 56 76 215 69 107 114 262 142 141 108 77 100
Character f a l l i n g o b j e c t c h a n g e a s
Milliseconds 72 126 90 385 101 126 56 26 65 111 174 184 83 116 142 85 174 33 107 32 104 57 58 103 81
Character a f u n c i -i t i o n o f t i m e ? H o
Milliseconds 66 108 101 174 85 41 198 85 284 66 93 116 49 68 140 67 77 170 53 60 75 148 226 174 172
Character w d o e s t h e l e v e l o f w a t e r
Milliseconds 286 184 83 218 174 56 69 350 23 96 66 83 57 84 83 409 93 116 47 112 124 75 97 92 188
Character i n a b a r r e l c h a n g e a s a
Milliseconds 141 95 54 117 58 108 325 58 72 119 74 102 108 75 84 68 49 92 40 67 111 114 134 58 75
Character f u n c t i o n o f t h e a m u -u o u n t
Milliseconds 192 134 49 100 188 47 107 67 51 124 82 76 114 78 58 83 108 68 208 242 151 166 57 165 177
Character o f l i q u i e -e d p i -i o u r e d i n t o
Milliseconds 93 82 67 75 151 74 224 119 174 233 59 73 60 226 398 168 191 92 81 178 66 133 42 75 117
Character i t ? W e s e e c h a n g e o o c c -c -c
Milliseconds 91 124 49 229 166 125 284 106 83 101 91 85 107 88 59 66 99 59 109 241 75 159 133 134 92
Character -o c c u r i n g - -g -n -i r i n g i n n e a r
Milliseconds 74 76 150 91 116 92 67 86 96 260 100 93 90 56 140 46 59 107 61 56 125 151 24 68 107
Character l y e v e r y t h i n g w e o b s e v e r -r
Milliseconds 92 101 90 251 133 23 310 203 181 66 142 50 35 107 116 57 86 150 108 217 74 326 108 100 235
Character -e -v r v e r -r i n t h e w o r l d a n d
Milliseconds 98 83 36 189 86 80 286 108 110 39 68 83 75 75 100 73 69 66 95 69 63 75 73 134 133
Character i u n -n -u u -i -u y u n -n -u -y u n i v e r s e , a
Milliseconds 199 33 19 258 82 218 299 0 192 0 59 373 101 198 246 73 264 129 171 62 142 99 49 194 131
Character n d p o w e r d f u -u -f f -p -o -w -e -r -d -f p o w e
Milliseconds 34 116 102 131 149 60 59 164 145 10 30 285 90 98 302 0 0 0 0 0 0 409 174 101 60
Character r f u k l - -l l -l -k l m o d e r n i n s t r
Milliseconds 148 125 42 141 0 126 208 102 148 208 98 103 151 159 90 93 89 133 101 126 91 57 76 116 150
Character u m e n t s h l e p - -h -l -e -p h e l p u s
Milliseconds 41 142 60 96 47 145 85 117 99 28 16 165 228 140 0 0 0 316 135 49 22 204 167 90 117
Character s e e m o r e a n d m o r e . I n t h i
Milliseconds 321 71 131 100 34 43 82 68 101 100 16 107 66 51 30 61 75 108 134 501 157 102 41 107 117
Character s s e c t i o n w e i n t r o d u c e t h
Milliseconds 69 65 124 76 149 167 60 117 57 67 75 66 99 243 66 150 450 144 197 158 91 136 150 100 76
Character e i d e a s o f a v e r a g e a n d i n
Milliseconds 558 182 110 157 116 102 199 134 199 101 267 474 166 77 133 101 140 76 56 101 50 109 83 108 58
Character s t a n t a n e o u s r a t e s o f c h n a
Milliseconds 75 166 76 117 166 334 208 207 126 199 92 93 115 70 138 75 143 67 116 242 99 75 83 134 84
Character -a -n a n g e , a n d s h o w t h a t t h e
Milliseconds 232 84 34 159 106 62 113 107 118 51 109 67 191 142 42 106 61 125 98 216 117 68 158 32 121
Character y a r -r - -a a r e c l s e -e -s o s e l y r
Milliseconds 171 167 67 185 239 126 91 143 72 118 82 68 140 28 201 42 216 74 210 115 33 92 123 85 166
Character e a l -l -a l a t e d t o t h e s l o p e o
Milliseconds 76 67 67 358 100 107 100 109 76 124 67 134 50 92 76 81 83 84 116 210 132 134 74 92 125
Character f a u c -c c u -u -c -u c u r v e r - -r a t
Milliseconds 233 150 68 84 424 141 127 116 74 284 0 0 149 67 133 201 91 111 99 240 83 68 58 100 59
Character a p o i n t P o n t h e c u r v e r -r .
Milliseconds 100 59 91 208 217 59 91 297 150 260 102 65 60 100 75 50 65 268 175 84 207 82 69 297 161
Character W e g i v e p r e c i d -d e -e s e d v e -e
Milliseconds 283 149 276 125 118 57 118 50 55 161 99 101 167 111 148 375 284 225 65 51 83 199 233 95 165
Character e -e -v e v e l o p m e n t s o f t h e s e i
Milliseconds 122 45 250 126 57 99 151 167 49 241 60 107 23 170 83 84 58 83 110 82 224 117 91 102 98
Character m p o r t a n t t -t = c -c -= c o n s -s c e p t s
Milliseconds 59 133 26 40 141 93 67 93 106 141 267 19 62 303 99 76 84 49 117 284 68 73 100 133 142
Character i n t h e n e x t h -h c h a p t e r , b
Milliseconds 63 96 48 77 16 449 84 67 57 76 158 159 57 408 259 50 126 66 100 138 120 68 73 92 159
Character u t f o r n e w -w -e o w w e u s e a n
Milliseconds 75 100 84 132 86 81 125 108 100 50 259 85 120 72 106 192 99 192 117 116 189 110 51 175 151
Character f i m -f -i -m i n f o m -m r m a l a p p r a o -o -a
Milliseconds 82 100 50 282 0 0 295 49 93 122 201 300 116 92 109 66 76 258 91 117 174 101 99 348 99
Character a -a o a r -r c h s o y o u y w i -w -i - -y w
Milliseconds 155 399 133 75 91 299 145 208 74 140 31 87 107 33 126 9 32 68 83 257 0 335 99 67 58
Character i l l s e e h w -w o e -e w t h e y l e a d
Milliseconds 76 123 118 22 94 85 156 109 108 176 274 166 118 408 69 55 148 35 108 76 57 269 108 50 297
Character n a t u r a l l y i n -n -i t o t h e m a i
Milliseconds 111 174 106 120 107 126 142 75 106 42 75 106 61 217 75 99 100 93 80 76 94 105 69 132 85
Character n i d e a o f t h i s c h a p t e r , t
Milliseconds 33 108 117 75 166 293 125 99 90 85 159 54 138 56 61 133 112 88 98 176 108 75 34 116 227
Character h e l i m i t . T h e i d e a o f a l
Milliseconds 16 184 81 185 155 94 66 45 155 78 156 117 86 81 100 76 124 75 93 82 83 75 117 84 175
Character i m i t p l a y s a f o u n d a t i o n a l
Milliseconds 207 85 64 78 74 74 59 76 125 160 80 115 118 234 77 156 33 67 110 134 79 129 40 159 125
Character r o l s e - -e -s e r t -t -r t h r o u g h o u
Milliseconds 75 134 75 159 99 68 106 210 92 82 143 99 233 13 296 90 85 150 156 75 178 52 115 167 183
Character t c l a -a -l c l -l -c a c l -l -c l c l -l y l -l -y u
Milliseconds 65 111 173 125 7 294 73 93 132 248 77 68 99 8 300 84 208 117 108 301 174 82 235 75 101
Character l u . -. s / -/ .
Milliseconds 74 343 340 278 83 39 549 203
WPM Timing
Seconds WPM
2.63 63.88
5.26 100.39
7.89 100.39
10.52 91.26
13.15 81.22
15.78 81.37
18.41 80.18
21.04 82.14
23.67 85.18
26.3 84.87
28.93 87.11
31.56 90.5
34.19 90.56
36.82 88.98
39.45 89.13
42.08 87.84
44.71 88.58
47.34 87.46
49.97 84.3
52.6 83.28
55.23 80.83
57.86 81.51
60.49 81.74
63.12 83.09
65.75 82.32
68.37 81.96
71 82.47
73.63 82.95
76.26 82.29
78.89 81.83
81.52 82.72
84.15 81.57
86.78 81.72
89.41 81.6
92.04 80.18
94.67 81.37
97.3 80.9
99.93 81.05
102.56 81.08
105.19 80.42
107.82 79.35
110.45 79.31
113.08 79.16
115.71 79.65
118.34 80.21
120.97 80.95
123.6 81.65
126.23 80.99
128.86 79.99
131.49 78.76