vaniel (vaniel)

Race #3

View Pit Stop page for race #3 by vaniel — Ghost race

View profile for vaniel (vaniel)

Official speed 89.62 wpm (115.69 seconds elapsed during race)
Without ending ping 89.81 wpm (246 ms delay sending score to TypeRacer’s server)
Timerless 90.09 wpm (358 ms elapsed before first character typed; 115.08 seconds elapsed during race)
Timerless minus one 89.99 wpm, ignoring the first character typed
Race Start August 13, 2023 7:01:17pm UTC
Race Finish August 13, 2023 7:03:13pm UTC
Outcome Win (1 of 5)
Opponents 3. roylar_rangeres (78.41 wpm)
Accuracy 96.8%
Points 241.98
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 calcuCalculus 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? howHow does the level of water in a abbarrel change as a fucntion nction of the maouamount of liquid poured into it? wWe esee change ocurrcurring in nearly everhthingything we observe in a the world an d universe, and powerful modern instruments help us see more and more. In this wsection we introduce the ideas of average and instantaneous rates of chane, ge, and show that they are closely reltaeated to the slp ope of a curve at a point P on the curve. We give precise ddevelopments of these important concepts in the next chapter, but for now we use informaan informal approach so you will see how they lead naturally to the main of idea of this chaperpter, the limit. THe idehe idea o ffa a limit plays a foudationndational role thoruroughout calculus.
Timing
Character c a l c u -u -c -l -a -c C a l c u l u s i s a t
Milliseconds 358 146 208 330 120 175 118 123 134 133 295 122 69 160 571 168 141 115 67 107 103 58 115 43 86
Character o o l t h a t h e l p s u s u n d e r s t
Milliseconds 65 127 124 325 325 59 47 60 37 124 105 67 90 116 127 135 124 36 154 136 55 148 51 178 88
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 104 95 93 62 97 45 99 416 115 93 110 81 60 88 69 49 72 96 75 27 90 78 91 102 188
Character u a n t i t y i s r e l a t e d t o a c
Milliseconds 128 85 99 118 376 141 103 83 155 80 77 285 75 70 109 9 194 170 106 131 47 64 75 331 128
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 79 73 85 87 70 58 134 55 61 112 90 97 87 75 49 67 362 147 165 53 121 67 101 47 92
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 49 72 47 95 49 75 80 76 84 113 134 44 69 71 95 181 92 138 126 104 145 69 69 110 102
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 268 128 96 81 94 152 64 106 65 73 71 63 69 263 89 67 54 82 69 74 86 151 122 173 17
Character o n o f t i m e ? h o w -w -o -h H o w d o e
Milliseconds 52 57 49 75 72 81 89 47 69 61 340 250 250 45 74 232 108 275 183 93 134 92 94 42 86
Character s t h e l e v e l o f w a t e r i n a
Milliseconds 35 84 110 59 97 53 30 67 83 87 67 93 747 116 82 110 71 123 147 59 68 112 49 72 13
Character a b -b -a b a r r e l c h a n g e a s a f
Milliseconds 97 81 159 357 101 79 58 201 88 830 90 59 151 72 78 73 65 41 78 114 81 43 105 42 121
Character u c n t i o n - -n -o -i -t -n -c n c t i o n o f
Milliseconds 61 112 85 142 61 49 61 55 255 112 135 117 128 122 132 176 98 162 37 56 62 39 100 87 63
Character t h e m a o u -u -o -a -m a m o u n t o f l i q
Milliseconds 81 67 63 70 64 67 175 70 242 114 126 130 133 53 127 79 126 88 82 74 70 81 40 377 229
Character u i d p o u r e d i n t o i t ? w -w W e
Milliseconds 69 72 119 201 259 82 133 145 409 132 64 88 54 91 200 82 294 62 182 93 480 320 127 312 75
Character e -e s e e c h a n g e o c u r r -r -r -u c u r r
Milliseconds 234 568 48 161 96 104 275 66 74 75 57 65 59 88 258 126 94 110 317 118 117 136 98 81 129
Character i n g i n n e a r l y e v e r h t h i n g -g
Milliseconds 101 56 57 78 59 74 69 266 85 91 50 85 100 44 147 109 81 55 117 104 69 92 81 59 254
Character -n -i -h -t -h y t h i n g w e o b s e r v e i n
Milliseconds 109 122 127 132 124 172 117 60 86 79 53 93 44 68 84 152 72 132 78 71 164 86 80 165 50
Character a - -a t h e w o r l d a n - d u n i v
Milliseconds 64 60 85 248 115 178 65 74 67 83 83 84 74 108 69 81 71 107 273 152 88 170 142 56 70
Character e r s e , a n d p o w e r f u l m o d e r n
Milliseconds 129 36 136 92 107 68 271 109 94 83 265 58 79 73 53 155 73 94 86 90 92 84 150 55 85
Character i n s t r u m e n t s h e l p u s s e e
Milliseconds 84 132 65 104 79 135 72 173 82 72 71 84 101 138 127 56 82 85 99 63 105 68 136 120 47
Character m o r e a n d m o r e . I n t h i s w -w
Milliseconds 73 39 41 54 83 97 69 52 81 62 50 73 56 121 113 234 185 94 93 73 60 49 86 121 377
Character s e c t i o n w e i n t r o d u c e t h e
Milliseconds 166 74 161 154 20 55 50 58 29 255 92 183 50 112 142 98 100 141 264 81 98 113 63 117 54
Character i d e a s o f a v e r a g e a n d i n s t
Milliseconds 86 64 131 79 80 93 50 202 104 105 203 165 58 239 75 72 69 243 77 90 48 120 53 51 91
Character a n t a n e o u s r a t e s o f c h a n e ,
Milliseconds 489 147 134 215 150 243 142 88 112 70 84 101 71 83 62 71 55 90 91 100 88 55 120 132 169
Character - -, -e g e , a n d s h o w t h a t t h e
Milliseconds 81 303 132 118 99 108 72 64 184 63 87 71 312 58 46 78 69 63 88 12 69 52 137 58 88
Character y a r e c l o s e l y r e l t a e -e -a -t a t
Milliseconds 95 42 61 67 58 49 144 63 132 83 79 70 93 34 94 73 51 112 33 261 220 113 131 131 73
Character e d t o t h e s l p - -p o p e o f a
Milliseconds 91 125 68 100 42 52 63 59 55 84 64 65 125 131 289 105 205 108 134 75 145 144 85 82 63
Character c u r v e a t a p o i n t P o n t h e
Milliseconds 90 104 68 172 62 64 180 292 179 103 159 333 35 75 48 48 118 148 136 131 64 58 61 81 58
Character c u r v e . W e g i v e p r e c i s e d
Milliseconds 66 247 98 232 183 56 132 87 187 98 155 115 58 95 0 101 136 82 65 134 143 138 85 59 167
Character -d d e v e l o p m e n t s o f t h e s e i m
Milliseconds 319 362 146 155 76 105 168 106 112 104 58 65 132 152 100 117 71 74 113 10 462 63 90 119 65
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 112 73 145 174 67 101 71 82 175 34 116 260 50 181 97 207 127 122 49 56 67 95 84 59 81
Character e x t c h a p t e r , b u t f o r n o w
Milliseconds 49 152 66 109 159 65 75 85 133 143 49 74 72 263 93 97 82 118 44 98 84 125 75 84 104
Character w e u s e i n f o r m -m -r -o -f -n a -a -i a n i
Milliseconds 113 68 87 121 109 84 45 99 70 116 83 73 102 180 119 123 127 115 179 315 96 92 85 78 151
Character n f o r m a l a p p r o a c h s o y o u w
Milliseconds 65 75 89 61 116 50 100 68 77 136 143 111 107 335 154 81 68 55 60 81 86 67 69 42 61
Character i l l s e e h o w t h e y l e a d n a t
Milliseconds 95 122 110 73 93 148 106 55 99 57 118 64 75 70 63 84 31 196 89 90 50 61 114 95 139
Character u r a l l y t o t h e m a i n o f - -f -o
Milliseconds 96 101 65 101 107 72 55 466 46 54 66 67 133 108 359 86 68 64 55 114 94 72 301 96 240
Character i d e a o f t h i s c h a p e r -r -e -p p t e
Milliseconds 331 92 118 48 71 49 122 63 74 63 69 66 129 80 70 62 74 212 50 481 105 150 489 226 111
Character r , t h e l i m i t . T H e i d e -e -d -i -
Milliseconds 62 65 76 90 78 85 55 68 68 89 129 202 158 217 265 40 116 54 93 81 157 150 110 130 134
Character -e -H h e i d e a o f -f - f a - -a a l i
Milliseconds 120 113 149 68 80 51 112 128 61 48 73 206 15 441 107 107 237 41 527 134 304 168 183 203 113
Character m i t p l a y s a f o u d a t i o n -n -o -i -t
Milliseconds 46 128 140 78 81 56 83 80 105 84 66 89 162 205 64 140 92 116 62 80 25 239 130 116 126
Character -a -d n d a t i o n a l r o l e t h o r u -u -r -o
Milliseconds 116 111 180 186 82 115 73 51 55 370 80 88 162 102 113 103 90 61 67 68 44 55 394 119 112
Character r o u g h o u t c a l c u l u s .
Milliseconds 89 85 60 82 73 173 57 97 197 160 150 166 153 145 149 96 92 119
WPM Timing
Seconds WPM
2.31 10.37
4.63 46.68
6.94 67.42
9.26 81.68
11.57 84.02
13.88 89.9
16.2 95.58
18.51 96.6
20.82 100.85
23.14 96.47
25.45 96.65
27.77 93.35
30.08 92.16
32.39 90.76
34.71 90.59
37.02 90.11
39.33 86.03
41.65 85
43.96 86.26
46.28 85.83
48.59 86.19
50.9 86.52
53.22 88.17
55.53 90.76
57.84 90.66
60.16 91.56
62.47 91.82
64.79 92.06
67.1 91.03
69.41 93.18
71.73 92.52
74.04 92.38
76.35 92.73
78.67 93.2
80.98 92.76
83.3 93.07
85.61 93.77
87.92 94.45
90.24 92.96
92.55 93.61
94.86 94.62
97.18 94.47
99.49 94.2
101.81 93.47
104.12 92.09
106.43 91.21
108.75 91.15
111.06 89.9
113.37 89.54
115.69 89.62