missingkeys (missingkeys)

Race #6

View Pit Stop page for race #6 by missingkeys — Ghost race

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Official speed 84.49 wpm (122.71 seconds elapsed during race)
Without ending ping 84.78 wpm (278 ms delay sending score to TypeRacer’s server)
Timerless 86.15 wpm (1,942 ms elapsed before first character typed; 120.49 seconds elapsed during race)
Timerless minus one 86.05 wpm, ignoring the first character typed
Race Start October 3, 2023 5:03:51pm UTC
Race Finish October 3, 2023 5:05:54pm UTC
Outcome No win (2 of 5)
Opponents 1. kerp434 (91.09 wpm)
3. alphakappa (82.72 wpm)
4. rakin000 (76.11 wpm)
5. chradora (71.22 wpm)
Accuracy 96.5%
Points 228.13
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 Calcullusus is at oa 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 leve ol of water ina a barrel change as ta function of the amount of liquid poured into it? We casee cahnge change occurring in nenearly evryteverything we observe in the world and universe, and powerful momdern modern instruments help us see more and more. IN thisIn this section we inrotroduce the ideas of average and instantaneous rates of change, and show taht ththat the y are closelyy rela reltaeteated to the slope of a curve adt a point P on the curve. We give precidese deelopdevelopment ots of these importat conant ceconcepts in the next chapgtter, but for now we use an ifnorminformall approach so you will see how they lead naturally o thto the main idea of this chapter, the limmit.limit. The idea of a limit playys as a foundation roloundafoundational role through calctout calculus/..
Timing
Character C a l c u l l u s -s -u -l u s i s a t o -o - -t
Milliseconds 1942 244 199 111 136 79 133 249 155 196 116 160 104 179 71 38 150 125 67 155 183 0 405 141 584
Character a - -a t o o l t h a t h e l p s u s u
Milliseconds 559 80 208 154 54 117 63 119 177 64 58 113 0 85 79 24 138 111 57 95 92 95 173 80 114
Character n d e r s t a n d h o w a c h a n g e i n
Milliseconds 59 38 89 114 87 139 87 72 75 98 103 67 60 114 71 82 96 74 134 125 124 76 58 102 73
Character o n e q u a n t i t y i s r e l a t e d
Milliseconds 60 93 77 74 81 95 92 147 90 113 110 77 256 161 86 69 120 39 76 73 117 87 89 99 97
Character t o a c h a n g e i n a n o t h e r . H
Milliseconds 65 84 71 45 129 72 73 84 80 61 79 48 77 73 63 91 76 82 59 109 26 80 77 159 150
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 66 46 150 52 117 45 72 62 95 92 33 157 45 124 46 152 55 133 68 112 140 126 229 117 60
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 87 123 168 70 63 102 49 84 136 38 64 160 92 106 71 110 50 114 33 140 65 68 106 85 77
Character f u n c t i o n o f t i m e ? H o w d o e
Milliseconds 67 103 61 51 149 66 72 46 114 87 52 128 53 92 71 25 245 117 189 51 99 84 607 150 68
Character s t h e l e v e o -o - l o f w a t e r
Milliseconds 56 74 80 75 34 186 157 86 90 107 173 123 278 118 342 60 171 76 99 70 77 99 111 74 64
Character i n a - -a a b a r r e l c h a n g e a s
Milliseconds 100 42 146 135 307 123 313 281 168 82 100 71 148 90 121 47 74 90 77 100 52 63 191 19 172
Character t -t a f u n c t i o n o f t h e a m o u
Milliseconds 171 106 484 113 84 114 87 72 40 162 38 51 73 131 63 145 82 110 96 81 93 130 76 102 82
Character n t o f l i q u i d p o u r e d i n t o
Milliseconds 172 77 103 66 103 73 113 124 117 114 67 590 144 230 427 83 97 87 130 92 109 31 101 96 75
Character i t ? W e c a -a -c s e e c a h n g e -c -a -h
Milliseconds 127 65 201 66 222 89 135 83 62 209 97 84 55 110 93 121 44 0 160 37 82 97 277 0 0
Character -n -g -e - c h a n g e o c c u r r i n g i n n
Milliseconds 0 0 0 0 286 78 74 79 57 79 74 15 105 130 84 95 124 108 54 85 114 88 50 83 274
Character e -e -n n e a r l y e v r y t -t -e -v -r -y e v e r y
Milliseconds 125 156 110 113 89 72 102 108 179 333 173 85 171 175 123 218 115 0 0 0 158 42 143 44 89
Character t h i n g w e o b s e r v e i n t h e w
Milliseconds 106 90 61 89 128 85 107 34 114 194 97 186 169 68 166 66 37 127 56 123 60 78 75 117 60
Character o r l d a n d u n i v e r s e , a n d p o
Milliseconds 120 62 121 67 113 52 109 71 81 102 142 60 49 105 103 97 84 94 124 239 57 100 76 50 43
Character w e r f u l m o m d e r n -m -o -m -d -e -r -n - m o
Milliseconds 115 0 67 167 107 134 71 295 57 16 60 82 120 88 64 145 0 0 0 0 0 0 0 283 38
Character d e r n i n s t r u m e n t s h e l p u s
Milliseconds 13 87 127 322 187 159 64 40 101 132 52 160 117 76 123 89 113 205 118 113 73 142 107 110 107
Character s e e m o r e a n d m o r e . I N t h i
Milliseconds 91 60 131 55 20 81 39 83 61 71 63 95 93 35 71 15 83 334 157 179 45 120 78 76 58
Character s -t -h -i -s -I -N - I n t h i s s e c t i o n w
Milliseconds 45 248 0 0 0 115 0 0 326 156 76 70 91 42 45 113 83 141 77 170 38 35 75 88 43
Character e i n r o -o -r t r o d u c e t h e i d e a s
Milliseconds 80 72 113 37 237 134 329 102 331 146 85 348 140 129 49 88 81 66 81 85 53 43 188 63 99
Character o f a v e r a g e a n d i n s t a n t a n
Milliseconds 95 57 97 92 95 98 144 78 193 56 140 107 66 107 55 112 164 56 12 449 74 143 116 414 194
Character e o u s r a t e s o f c h a n g e , a n d
Milliseconds 175 500 59 35 123 46 96 98 67 149 62 51 54 107 110 237 71 129 34 69 99 128 106 97 46
Character s h o w t a h t t h -t -h -t -a -h -t - t h a t
Milliseconds 156 78 92 58 26 94 78 97 18 80 80 96 90 216 0 107 0 0 0 0 237 84 33 76 66
Character t h e - y a r e c l o s e l y y r e l a -a
Milliseconds 89 88 84 188 363 224 200 91 44 79 86 89 106 437 71 62 93 244 156 45 110 42 79 96 232
Character -l -e -r - -y r e l t a e -e -a t e -e -t $a t e d t o
Milliseconds 118 142 155 123 179 72 99 63 60 109 59 148 254 125 130 188 125 116 138 70 83 142 121 49 104
Character t h e s l o p e o f a c u r v e a d -d
Milliseconds 81 38 91 77 89 95 72 135 537 117 99 41 231 224 88 198 171 177 104 233 89 518 82 94 451
Character t a p o i n t P o n t h e c u r v e .
Milliseconds 302 150 83 100 107 22 45 160 61 119 135 117 120 62 102 34 113 59 94 83 114 61 167 50 88
Character W e g i v e p r e c i d e -e -d s e d e e l
Milliseconds 135 183 161 112 89 179 118 67 79 85 56 77 130 98 482 110 217 112 83 62 59 125 80 207 69
Character o p -d -e -e -l -o -p d e v e l o p m e n t o -o - -t t
Milliseconds 146 58 261 0 0 0 0 0 215 57 115 83 29 174 28 209 89 71 46 181 44 276 109 140 561
Character s o f t h e s e i m p o r t a t c o n -c -o
Milliseconds 78 49 48 65 107 62 77 90 83 59 76 54 131 124 228 126 161 81 130 173 92 53 74 189 0
Character -n - -t -a a n t c e -e -c c o n c e p t s i n t
Milliseconds 0 316 186 162 438 82 80 122 90 108 266 121 114 90 41 52 89 115 97 115 83 116 32 102 0
Character h e n e x t c h a p g t -t -g t e r , b u t
Milliseconds 115 33 112 49 49 162 201 76 122 60 77 98 97 212 182 147 36 101 91 57 150 67 92 106 132
Character f o r n o w w e u s e a n i f n o r m -i
Milliseconds 124 52 117 55 50 56 70 80 140 101 83 115 151 87 68 79 99 70 50 74 31 137 32 143 318
Character -f -n -o -r -m i n f o r m a l l - -l a p p r o a c
Milliseconds 0 0 0 0 0 180 50 20 318 110 101 103 79 155 210 222 106 125 165 26 124 96 116 50 72
Character h s o y o u w i l l s e e h o w t h e
Milliseconds 73 69 99 65 62 89 96 75 86 108 58 51 113 88 36 70 118 49 76 39 68 93 54 99 71
Character y l e a d n a t u r a l l y o t h -t -h -o -
Milliseconds 69 107 84 49 58 108 103 172 94 114 97 91 66 57 121 217 167 322 54 61 99 218 0 98 0
Character t o t h e m a i n i d e a o f t h i s
Milliseconds 87 219 166 98 75 98 88 42 106 74 53 66 111 48 149 83 39 42 81 108 67 68 58 45 111
Character c h a p t e r , t h e l i m m i t . -. -l -i -m -m
Milliseconds 56 97 0 87 65 119 95 102 142 74 94 96 170 74 97 128 58 11 124 109 243 122 0 0 0
Character -i -t l i m i t . T h e i d e a o f a l i
Milliseconds 0 0 246 57 64 155 120 181 183 151 124 67 110 56 51 168 56 50 46 75 128 128 178 112 29
Character m i t p l a y y s a -a - -s -y s a f o u n d
Milliseconds 194 71 32 165 21 52 112 238 183 84 134 94 234 131 141 140 117 129 84 107 82 60 59 137 16
Character a t i o n r o l -r -o -l -f -o -u -n -d -a -t -i -o -n - o u
Milliseconds 98 88 30 30 50 129 76 53 177 228 0 0 105 0 0 0 0 0 0 0 0 0 0 763 34
Character n d a -o -u -n -d -a f o u n d a t i o n a l r o l e
Milliseconds 145 0 122 169 0 0 0 0 181 101 16 176 18 135 76 62 0 65 96 104 72 108 73 156 24
Character t h r o u g h c a l c -c -a -l -c t -t - o u t c
Milliseconds 122 59 100 50 95 90 0 157 146 32 78 116 76 323 0 0 0 278 282 125 515 39 100 89 108
Character a l c u l u s / . -. -/ .
Milliseconds 41 79 104 80 408 103 91 190 275 220 111 38
WPM Timing
Seconds WPM
2.45 14.67
4.91 31.78
7.36 27.71
9.82 55.01
12.27 69.43
14.73 81.49
17.18 89.41
19.63 92.9
22.09 97.25
24.54 94.86
27 92.01
29.45 92.49
31.91 93.65
34.36 92.2
36.81 92.25
39.27 91.68
41.72 89.74
44.18 89.37
46.63 91.61
49.09 91.43
51.54 91.5
53.99 93.12
56.45 91.62
58.9 90.86
61.36 92.31
63.81 91.02
66.26 92.54
68.72 91.15
71.17 90.2
73.63 88.34
76.08 88.48
78.54 87.09
80.99 88.31
83.44 87.87
85.9 86.89
88.35 86.79
90.81 85.1
93.26 85.69
95.72 86.13
98.17 85.81
100.62 86.22
103.08 87.54
105.53 87.1
107.99 88.01
110.44 87.68
112.9 87.48
115.35 86.03
117.8 85.97
120.26 85.02
122.71 84.49