tstats[sweetapple6911] (sweetapple6911)

Race #1134

View Pit Stop page for race #1134 by sweetapple6911 — Ghost race

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Official speed 80.71 wpm (128.46 seconds elapsed during race)
Without ending ping 80.82 wpm (173 ms delay sending score to TypeRacer’s server)
Timerless 82.84 wpm (3,126 ms elapsed before first character typed; 125.16 seconds elapsed during race)
Timerless minus one 82.74 wpm, ignoring the first character typed
Race Start November 15, 2023 8:32:39pm UTC
Race Finish November 15, 2023 8:34:47pm UTC
Outcome No win (4 of 4)
Opponents 1. ken_dama (101.00 wpm)
3. slippysam (82.53 wpm)
Accuracy 96.0%
Points 217.92
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 Calacucules us is a tool that helps us understand how a chang ein e in one quanittytity is related to a change in another . How does the speed of a falling object change as a funciton otion of tmeieme? How doess the level of water in a barrel changea s as a function of the maoamount of liquid poured into it? We see cahange occurring in nerlyarly everything twe we boobserve in the world and unviverse, and powerful modern instruments help us see more and more. In this seciton ation we introduce the ideas of average and instatnntaneous reatates of change, and show that they are closely related to the slop of ae of a curve at a point P on the curve. WE e give precise developememtsn ments of these improtantortant concepts in the next chapter,d but for now we use an informlaal apporacroach asso you will se e how they lead naturally to the main idea of this chapter, the limite. T. The idea of a limit plays a foundational role through outout calculousus.
Timing
Character C a l a c u -u -c -a c u l e s - -s -e u s i s a
Milliseconds 3126 476 127 127 228 34 311 162 124 91 57 134 117 66 111 269 160 130 172 134 18 110 143 32 563
Character t o o l t h a t h e l p s u s u n d e r
Milliseconds 0 144 86 133 168 42 103 110 58 51 27 141 104 115 144 75 78 106 109 90 207 131 66 139 63
Character s t a n d h o w a c h a n g e i n - -n -i
Milliseconds 114 86 79 64 92 138 148 125 49 65 97 69 97 52 134 38 121 43 0 118 68 80 356 142 146
Character -e - e i n o n e q u a n i t t y -y -t -t -i t i
Milliseconds 129 129 118 138 106 100 120 599 67 92 61 108 41 116 44 127 38 170 68 226 136 145 130 240 310
Character t y i s r e l a t e d t o a c h a n g e
Milliseconds 89 146 129 222 115 107 120 62 291 118 92 48 171 60 150 0 97 160 82 114 81 94 68 103 40
Character i n a n o t h e r - . H o w d o e s t
Milliseconds 35 85 66 94 28 354 99 55 90 74 55 137 367 261 214 160 109 146 74 103 74 90 87 81 98
Character h e s p e e d o f a f a l l i n g o b j
Milliseconds 39 79 72 87 83 94 121 160 0 128 46 99 46 176 121 42 34 400 161 67 86 75 109 74 150
Character e c t c h a n g e a s a f u n c i t o n
Milliseconds 72 179 137 51 105 88 100 87 113 38 97 59 116 67 126 53 334 110 158 72 127 19 48 74 83
Character o -o - -n -o -t -i t i o n o f t m e -e -m i e -e m e
Milliseconds 154 200 145 136 144 130 123 145 44 166 40 93 156 88 57 109 84 78 415 137 214 149 569 176 59
Character ? H o w d o e s -s s t h e l e v e l o f
Milliseconds 210 149 274 259 58 109 74 80 72 71 585 640 51 149 0 116 26 120 71 84 60 82 80 109 72
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 149 100 47 103 137 42 82 60 59 84 79 80 208 116 110 138 189 266 145 125 133 73 142 80 34
Character a s -s - -a a s a f u n c t i o n o f t
Milliseconds 122 57 166 269 146 134 133 103 43 83 131 50 239 114 148 122 121 0 97 67 54 110 113 82 190
Character h e m a o -o -a -m a m o u n t o f l i q u i d
Milliseconds 25 90 55 79 52 152 284 154 123 120 96 121 83 155 50 100 77 89 31 170 94 226 45 147 93
Character p o u r e d i n t o i t ? W e s e e c
Milliseconds 65 104 149 279 137 126 203 82 95 52 93 63 67 116 52 373 188 151 201 131 103 99 133 82 99
Character a -a h a n g e o c c u r r i n g i n n e r l
Milliseconds 72 655 210 398 97 109 62 115 160 77 136 79 156 184 122 70 102 94 121 52 109 261 82 59 47
Character y -y -l -r a r l y e v e r y t h i n g t w e -
Milliseconds 182 288 135 123 93 44 34 162 108 47 75 110 118 168 100 72 110 70 48 127 54 128 97 132 236
Character -e -w -t w e b o -o -b o b s e r v e i n t h e
Milliseconds 109 130 120 106 29 84 151 162 281 131 124 98 158 57 46 188 130 177 74 55 82 33 75 29 99
Character w o r l d a n d u n v -v i v e r s e , a n d
Milliseconds 60 84 78 92 55 83 94 48 124 36 97 144 152 412 255 83 105 75 97 46 40 125 48 99 44
Character p o w e r f u l m o d e r n i n s t r u m e
Milliseconds 95 88 141 89 18 69 114 47 133 59 139 57 121 140 48 77 85 98 65 119 81 241 299 164 29
Character n t s h e l p u s s e e m o r e a n d
Milliseconds 137 0 102 85 102 100 67 212 0 106 135 38 137 29 149 31 100 62 51 27 62 99 79 91 22
Character m o r e . I n t h i s s e c i t o n a -a -
Milliseconds 100 46 50 33 137 90 143 73 121 113 92 114 32 140 43 55 204 109 14 69 61 88 46 258 141
Character -n -o -t -i t i o n w e i n t r o d u c e t h e
Milliseconds 145 148 112 143 192 51 141 0 121 115 93 23 892 55 167 141 268 138 144 39 144 76 118 22 73
Character i d e a s o f a v e r a g e a n d i n s
Milliseconds 58 109 187 168 115 107 128 106 101 53 88 75 206 69 149 78 55 107 131 83 85 46 83 65 46
Character t a t n -n -t n t a n e o u s r e a t -t -a -e a t e
Milliseconds 101 102 173 241 287 138 138 111 70 310 332 111 89 132 85 164 67 81 111 183 141 118 103 62 46
Character s o f c h a n g e , a n d s h o w t h a
Milliseconds 93 80 144 81 101 185 138 100 137 124 37 116 133 134 64 108 72 515 416 130 46 120 108 122 108
Character t t h e y a r e c l o s e l y r e l a t e
Milliseconds 58 46 112 65 125 71 106 23 51 34 75 121 46 142 18 42 103 159 116 75 23 241 76 77 48
Character d t o t h e s l o p o f a -a - -f -o - e
Milliseconds 175 99 79 53 79 45 80 45 107 143 84 140 151 97 113 80 101 88 222 143 173 145 150 139 83
Character o f a c u r v e a t a p o i n t P o
Milliseconds 119 104 58 142 20 142 65 102 250 28 90 108 63 72 111 70 117 78 76 37 76 75 168 178 126
Character n t h e c u r v e . W E - -E e g i v e
Milliseconds 82 85 178 131 89 131 54 114 63 206 47 113 125 164 23 236 204 149 106 103 108 97 60 45 60
Character p r e c i s e d e v e l o p e m -m -e e m t s n
Milliseconds 240 54 35 288 159 104 70 130 222 116 124 83 80 141 93 290 0 391 140 184 27 181 88 0 252
Character - -n -s -t -m -e m e n t s o f t h e s e i m p r
Milliseconds 749 151 123 145 129 125 195 100 94 98 70 51 256 66 134 62 105 94 92 76 98 76 75 103 71
Character o t a n t -t -n -a -t -o -r o r t a n t c o n c e p t
Milliseconds 46 86 63 67 89 166 126 153 146 124 136 235 89 124 61 427 114 102 97 59 69 109 112 113 100
Character s i n t h e n e x t c h a p t e r , d -d
Milliseconds 58 117 119 51 142 11 70 47 110 168 40 168 153 87 86 111 83 149 101 143 85 109 187 246 491
Character b u t f o r n o w w e u s e a n i n f
Milliseconds 102 108 61 85 277 68 163 89 148 108 62 60 97 47 102 148 53 41 98 257 89 112 71 61 105
Character o r m l a -a -l a l a p p o r a c -c -a -r -o r o a c
Milliseconds 450 339 111 178 24 447 159 209 46 130 207 128 132 179 73 179 63 195 161 123 125 117 78 77 78
Character h a s -s -a s o y o u w i l l s e - e h
Milliseconds 64 133 31 74 233 151 114 80 95 333 150 61 113 105 59 135 131 92 49 79 47 476 74 84 96
Character o w t h e y l e a d n a t u r a l l y t o
Milliseconds 125 43 191 320 46 62 103 66 103 29 47 126 38 120 79 79 60 66 79 53 128 162 137 13 30
Character t h e m a i n i d e a o f t h i s c h
Milliseconds 85 51 40 76 42 86 68 106 87 77 118 79 122 64 20 102 57 105 64 398 119 50 86 104 449
Character a p t e r , t h e l i m i t e . T -T - -. -e .
Milliseconds 119 134 109 137 48 78 91 79 52 60 90 137 89 154 178 112 37 68 84 149 223 144 140 143 177
Character T h e i d e a o f a l i m i t p l a y
Milliseconds 144 178 301 110 114 79 48 174 34 49 117 84 43 105 61 190 79 118 155 106 92 80 106 78 114
Character s a f o u n d a t i o n a l r o l e t h r
Milliseconds 217 134 123 150 66 160 48 133 102 126 55 41 72 56 111 119 125 16 89 167 24 83 78 90 54
Character o u g h o u t -t -u -o - o u t c a l c u l o u s
Milliseconds 55 83 47 85 83 114 48 67 203 130 142 108 154 100 21 100 86 231 879 140 889 223 182 93 185
Character -s -u -o u s .
Milliseconds 249 97 115 161 93 104
WPM Timing
Seconds WPM
2.57 0
5.14 14.01
7.71 31.14
10.28 52.55
12.85 55.11
15.42 53.71
17.98 60.05
20.55 63.64
23.12 70.06
25.69 74.26
28.26 72.18
30.83 68.89
33.4 68.98
35.97 72.06
38.54 71.93
41.11 72.69
43.68 74.73
46.25 74.21
48.81 74.98
51.38 75.43
53.95 73.84
56.52 75.16
59.09 77.98
61.66 79.79
64.23 80.52
66.8 79.4
69.37 80.44
71.94 80.4
74.51 80.05
77.08 80.18
79.65 81.96
82.21 81.3
84.78 82.66
87.35 82.7
89.92 82.47
92.49 80.31
95.06 80.29
97.63 80.39
100.2 80.48
102.77 81.15
105.34 80.31
107.91 79.51
110.48 79.62
113.04 81.1
115.61 81.48
118.18 81.13
120.75 81.69
123.32 82.81
125.89 81.79
128.46 80.71