ahnfnsr (ahnfnsr)

Race #8945

View Pit Stop page for race #8945 by ahnfnsr — Ghost race

View profile for ahnfnsr (ahnfnsr)

Official speed 80.40 wpm (128.96 seconds elapsed during race)
Without ending ping 80.65 wpm (393 ms delay sending score to TypeRacer’s server)
Timerless 80.85 wpm (331 ms elapsed before first character typed; 128.23 seconds elapsed during race)
Timerless minus one 80.76 wpm, ignoring the first character typed
Race Start February 16, 2025 11:34:37am UTC
Race Finish February 16, 2025 11:36:46am UTC
Outcome No win (3 of 5)
Opponents 1. predator726 (85.51 wpm)
5. turbo_ultimatum (76.87 wpm)
Accuracy 95.1%
Points 217.09
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 tool that helps us understarndnd how a chnageange in one quantity is related to chaa ahchange in another. How does the speed of a falling object change as a fuctionnction of time? Howw does the level of water in a barrel change as a uffuntion ction of the amoung oot of lizququid poured into it? We see chnage change occurinring in nearly neveverything ewwe observe in the world and universe, and powerful modern instruments help us see more and more. In this esesection we introudceduce the ideas of evavergaegageage and instatntntatnneous rates of change, and show that they are closely related to the slop oe of a cureve and t a point P on the cursevve. We give pfrerecise developments of these impratortant concetppts in the next chapter, but nfor now we use a nn informal approach you so you will see how they hlead annauturally to the main idea of htthis chapter, the limit. The idea of a limit payslays a foundation l al rol e thourrought throught out clacualculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 331 200 84 164 123 166 113 151 122 76 100 67 107 97 96 60 157 199 83 109 69 76 61 36 53
Character e l p s u s u n d e r s t a r n d -d -n -r n d
Milliseconds 125 54 91 65 78 74 76 88 284 162 74 162 64 117 83 17 16 85 118 295 151 135 102 80 84
Character h o w a c h n a g e -e -g -a -n a n g e i n o
Milliseconds 118 54 145 108 129 56 112 43 196 97 126 89 231 133 134 140 89 107 108 78 23 106 71 112 252
Character n e q u a n t i t y i s r e l a t e d t o
Milliseconds 92 151 224 183 80 122 323 161 117 74 135 114 85 103 97 282 82 118 91 86 106 144 82 109 46
Character c h a -a -h -c a a h -h -a c h a n g e i n a n
Milliseconds 94 86 92 69 328 123 125 86 82 89 86 433 109 86 91 72 97 65 90 15 69 50 97 68 70
Character o t h e r . H o w d o e s t h e s p e e d
Milliseconds 48 55 94 67 51 60 54 155 48 114 288 179 90 129 69 62 85 51 82 76 80 53 122 149 138
Character o f a f a l l i n g o b j e c t c h a n
Milliseconds 86 17 145 139 97 85 65 91 388 143 133 65 65 78 52 275 106 150 90 182 130 186 69 87 113
Character g e a s a f u c t i o n -n -o -i -t -c n c t i o
Milliseconds 93 73 102 48 111 62 89 93 64 125 54 179 51 59 48 318 128 129 139 139 108 74 168 39 51
Character n o f t i m e ? H o w w - -w d o e s t
Milliseconds 60 130 141 72 91 133 89 34 55 205 81 210 193 21 119 300 232 105 95 79 43 151 76 30 120
Character h e l e v e l o f w a t e r i n a b a
Milliseconds 63 59 72 23 101 70 91 32 113 89 37 104 81 75 109 93 80 48 62 67 58 24 126 124 257
Character r r e l c h a n g e a s a u f -f -u f u n t
Milliseconds 220 173 94 97 97 100 62 83 92 81 62 68 75 97 118 76 134 380 69 290 113 62 101 149 154
Character i o n - -n -o -i -t c t i o n o f t h e a m o
Milliseconds 83 49 24 138 254 147 127 144 135 38 710 71 78 40 96 66 53 87 118 55 98 19 167 85 124
Character u n g o o -o -o - -g t o f l i z q u -u -q -z q u
Milliseconds 89 160 99 87 22 139 294 149 141 131 46 102 46 95 96 159 60 168 207 44 289 144 129 61 105
Character i d p o u r e d i n t o i t ? W e s e e
Milliseconds 29 149 134 112 204 59 102 197 184 70 74 64 109 52 107 134 99 240 64 402 278 116 83 161 140
Character c h n a g e -c -h -n -a -g -e - c h a n g e o c c
Milliseconds 92 107 59 162 45 116 75 65 394 0 0 0 0 0 0 283 95 49 133 74 57 96 161 102 137
Character u r i n -n -i r i n g i n n e a r l y n e v -v
Milliseconds 98 122 122 131 386 107 125 127 44 91 95 60 82 197 321 114 108 54 82 97 76 119 112 103 183
Character -e -n e v e r y t h i n g e w -w -e w e o b s e r
Milliseconds 112 128 67 73 119 66 67 92 99 72 97 65 102 75 139 250 134 53 56 97 213 98 252 49 116
Character v e i n t h e w o r l d a n d u n i v e
Milliseconds 223 77 65 69 49 88 64 102 55 110 83 63 101 74 79 81 92 69 88 43 128 164 44 0 125
Character r s e , a n d p o w e r f u l m o d e r n
Milliseconds 101 97 82 82 58 120 75 102 74 41 64 89 53 65 159 69 66 66 175 49 241 195 43 84 64
Character i n s t r u m e n t s h e l p u s s e e m
Milliseconds 93 81 81 46 148 76 159 99 85 98 65 35 75 128 65 92 89 125 83 93 117 175 131 62 82
Character o r e a n d m o r e . I n t h i s e s e
Milliseconds 82 47 53 54 114 59 107 34 98 66 76 70 90 77 183 59 101 119 61 59 57 125 112 195 89
Character -e -s -e s e c t i o n w e i n t r o u d c e -e -c
Milliseconds 245 133 123 53 59 134 171 61 73 61 51 119 95 121 218 72 65 136 67 113 58 178 73 217 135
Character -d -u d u c e t h e i d e a s o f e v -v -e a
Milliseconds 150 198 128 113 81 50 111 68 90 108 123 94 108 171 71 151 90 91 94 92 150 175 300 129 70
Character v e r g a e g -g -e -a a g e -e -g -a -g a g e a n d
Milliseconds 684 214 64 214 87 170 11 317 124 150 156 70 81 209 128 134 135 78 61 81 47 98 83 95 51
Character i n s t a t n t -t -n -t n t a t n -n -t n e o u s r
Milliseconds 71 70 163 65 89 97 65 117 404 132 369 207 121 133 77 151 362 113 127 104 132 79 161 156 167
Character a t e s o f c h a n g e , a n d s h o w
Milliseconds 68 171 94 72 91 56 69 115 271 110 74 99 66 87 61 56 60 108 58 101 157 64 49 77 95
Character t h a t t h e y a r e c l o s e l y r e l
Milliseconds 81 81 54 51 64 108 65 69 94 69 35 74 80 53 112 57 144 53 78 167 116 59 748 69 91
Character a t e d t o t h e s l o p o -o - e o f
Milliseconds 153 57 118 140 99 110 72 78 44 85 61 105 47 81 192 95 241 165 255 134 51 67 83 102 96
Character a c u r e -e v e a n d - -d -n t a p o i n
Milliseconds 235 117 155 137 84 108 384 68 66 113 46 126 53 103 294 124 138 78 94 83 74 73 64 137 70
Character t P o n t h e c u r s e v -v -e -s v e . W
Milliseconds 396 138 227 247 439 60 64 60 91 62 49 113 86 112 60 97 113 258 111 124 89 51 151 69 277
Character e g i v e p f r e -e -r -f r e c i s e d e v e
Milliseconds 193 145 191 82 98 43 83 57 134 11 50 325 145 143 51 83 270 292 127 77 94 625 166 83 98
Character l o p m e n t s o f t h e s e i m p r a t -t
Milliseconds 29 173 32 241 330 125 97 69 61 45 76 77 79 51 65 74 82 47 51 212 92 182 123 100 281
Character -a -r o r t a n t c o n c e t p -p -t p t s i n
Milliseconds 134 141 154 62 137 79 84 71 112 189 65 49 123 108 219 225 289 118 199 57 92 51 84 64 67
Character t h e n e x t c h a p t e r , b u t n -n f
Milliseconds 21 137 19 106 78 74 188 172 107 110 96 95 486 96 136 54 127 83 182 46 122 52 82 283 101
Character o r n o w w e u s e a n -n - n i n f o
Milliseconds 116 65 105 103 33 108 95 150 80 131 330 100 80 102 106 144 83 352 122 115 89 60 69 111 126
Character r m a l a p p r o a c h y o u - -u -o -y s o
Milliseconds 108 134 115 116 144 212 95 123 107 70 139 199 201 218 133 99 82 71 289 146 138 144 91 49 100
Character y o u w i l l s e e h o w t h e y h -h l
Milliseconds 67 100 81 54 47 107 112 151 81 82 175 169 124 100 66 52 92 94 49 124 56 67 250 334 177
Character e a d a n -n -a n a u -u t u r a l l y t o t h
Milliseconds 44 63 134 99 166 69 267 147 85 186 130 588 149 97 84 98 72 166 62 62 153 56 71 47 84
Character e m a i n i d e a o f h t -t -h t h i s c
Milliseconds 61 67 68 134 114 67 50 133 76 193 35 154 27 79 93 117 66 382 128 91 68 49 69 93 268
Character h a p t e r , t h e l i m i t . T h e i d
Milliseconds 262 86 97 223 121 64 125 50 666 83 62 65 43 114 74 79 261 138 67 152 103 76 111 81 81
Character e a o f a l i m i t p a y s -s -y -a l a y s
Milliseconds 165 0 151 30 125 81 114 84 175 89 74 106 137 161 45 127 133 112 268 126 145 179 101 52 118
Character a f o u n d a t i o n - l - -l a l r o l
Milliseconds 151 454 190 239 95 61 139 44 55 90 66 89 16 92 382 176 128 316 122 90 117 81 129 79 146
Character - e t h o u r -r -u r -r o u g h t -t -h -o -o -u -g
Milliseconds 186 290 340 125 230 37 173 60 75 253 130 158 10 131 67 79 85 80 60 397 0 0 0 0 0
Character -h -t - t h r o u g h t - -t o u t c l a c u -u -c
Milliseconds 0 0 0 267 107 82 80 41 93 98 107 9 397 167 207 61 75 109 140 111 100 164 90 261 134
Character -a -l a l c u l u s .
Milliseconds 151 135 46 137 105 96 129 110 210 115
WPM Timing
Seconds WPM
2.58 88.4
5.16 95.38
7.74 83.75
10.32 86.08
12.9 82.82
15.47 86.85
18.05 90.4
20.63 93.64
23.21 90.47
25.79 91.19
28.37 93.9
30.95 89.95
33.53 89.48
36.11 85.41
38.69 86.23
41.27 83.75
43.84 83.48
46.42 83.49
49 84.24
51.58 87.01
54.16 88.85
56.74 90.52
59.32 89.82
61.9 89.57
64.48 86.73
67.06 85.72
69.64 83.75
72.21 85.25
74.79 86
77.37 86.23
79.95 85.4
82.53 85.35
85.11 84.88
87.69 83.75
90.27 84.55
92.85 83.75
95.43 84
98.01 84.24
100.59 84.11
103.16 83.4
105.74 83.75
108.32 82.97
110.9 83.64
113.48 83.33
116.06 84.16
118.64 83.45
121.22 83.06
123.8 81.81
126.38 81.19
128.96 80.4