Roshan (noob_master9901)

Race #8316

View Pit Stop page for race #8316 by noob_master9901 — Ghost race

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Official speed 89.99 wpm (115.21 seconds elapsed during race)
Without ending ping 90.32 wpm (426 ms delay sending score to TypeRacer’s server)
Timerless 90.70 wpm (476 ms elapsed before first character typed; 114.31 seconds elapsed during race)
Timerless minus one 90.59 wpm, ignoring the first character typed
Race Start May 21, 2023 5:49:07am UTC
Race Finish May 21, 2023 5:51:02am UTC
Outcome Win (1 of 5)
Opponents 2. blackflag777 (86.18 wpm)
Accuracy 97.0%
Points 242.96
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 understand how a change in one qunatantity is relaate ted to a change in another >. How does the psespeed of a falling object change as a function of time? How does the level of watner oinin a barrel change as a function of the amount of liquid oppoured into it? We see change occurring in renearly everything we obeserve in the world and universe, and powerful modern instruments help us seem ore more and more. In this ecsection we introduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slpope of a curve at a ppoioint P on the curfve.ve. We give precise developments of these important condcepts in the next xchapgter, but for now we use an informal approach so you will see how they lead naturally to the main inddea of this chaptgerer, the limit. The idea os a f a milimit plays aa foundationsaal roolle throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 476 145 125 160 165 287 272 128 54 108 397 122 89 112 143 86 115 159 144 20 107 29 64 57 152
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 112 57 118 133 96 100 99 88 83 158 81 160 62 104 141 95 21 140 59 112 79 8 116 90 91
Character c h a n g e i n o n e q u n a t -t -a -n a n t
Milliseconds 127 52 134 59 169 96 85 63 75 104 98 92 73 111 141 78 188 9 175 294 135 116 94 102 132
Character i t y i s r e l a a t e - -e -t -a t e d t o
Milliseconds 106 164 107 74 134 60 122 106 96 95 7 193 96 86 120 297 132 141 130 102 51 160 18 190 46
Character a c h a n g e i n a n o t h e r > -> - .
Milliseconds 71 174 80 173 63 121 89 65 74 122 91 75 85 97 68 86 84 41 99 111 164 70 322 116 196
Character H o w d o e s t h e p s e -e -s -p s p e e d
Milliseconds 81 170 169 106 123 101 76 80 88 52 92 90 31 116 92 112 184 294 136 124 149 86 137 206 233
Character o f a f a l l i n g o b j e c t c h a n
Milliseconds 144 118 74 105 70 106 102 112 122 110 143 68 61 100 49 106 186 85 149 101 171 366 171 81 106
Character g e a s a f u n c t i o n o f t i m e ?
Milliseconds 32 89 170 102 68 95 127 80 137 127 168 119 115 43 31 62 147 134 85 56 119 32 87 49 171
Character H o w d o e s t h e l e v e l o f w a
Milliseconds 134 160 211 84 108 102 69 104 69 47 131 58 58 71 80 74 176 96 56 131 112 51 86 107 64
Character t n -n e r o i n -n -i -o i n a b a r r e l c
Milliseconds 111 20 386 270 111 113 202 33 134 325 138 106 180 63 129 106 149 171 73 183 188 121 125 138 196
Character h a n g e a s a f u n c t i o n o f t h
Milliseconds 46 78 88 65 56 82 101 86 79 144 58 318 137 151 143 106 20 38 78 98 101 96 59 120 26
Character e a m o u n t o f l i q u i d o p -p -o p o
Milliseconds 49 117 455 108 90 124 148 118 115 145 138 79 96 128 196 118 100 311 116 124 162 337 135 198 74
Character u r e d i n t o i t ? W e s e e c h a n
Milliseconds 182 195 133 106 42 96 65 95 136 108 122 105 221 139 224 179 149 72 84 181 91 118 107 57 117
Character g e o c c u r r i n g i n r e -e -r n e a r l
Milliseconds 11 101 96 211 149 207 126 134 208 125 73 53 113 85 56 118 365 94 281 121 157 38 79 111 56
Character y e v e r y t h i n g w e o b e -e s e r v e
Milliseconds 154 75 123 123 110 92 56 141 22 61 148 19 124 59 79 140 113 93 107 326 68 109 185 219 80
Character i n t h e w o r l d a n d u n i v e r s
Milliseconds 116 65 85 104 44 75 14 135 64 133 42 118 122 83 108 46 170 146 182 155 96 19 109 138 106
Character e , a n d p o w e r f u l m o d e r n i n
Milliseconds 144 67 81 118 68 59 96 54 93 61 111 56 197 102 137 148 92 121 65 215 156 105 127 139 106
Character s t r u m e n t s h e l p u s s e e m o r
Milliseconds 21 134 191 85 166 62 131 32 86 140 214 103 67 143 122 139 79 96 101 56 182 106 90 121 64
Character e -e -r -o - -m m o r e a n d m o r e . I n
Milliseconds 76 286 145 126 103 105 136 130 127 69 59 74 85 69 48 84 81 116 53 69 118 79 134 152 104
Character t h i s e c -c -e s e c t i o n w e i n t r o
Milliseconds 123 47 75 139 57 200 200 308 123 89 42 193 159 71 47 54 128 117 68 97 85 70 63 171 80
Character d u c e t h e i d e a s o f a v e r a g e
Milliseconds 117 154 80 457 135 110 54 42 96 75 117 145 75 122 122 133 107 53 126 175 135 133 69 158 65
Character a n d i n s t a n t a n e o u s r a t e s
Milliseconds 71 116 89 37 112 79 70 63 124 79 52 387 164 193 278 192 100 150 83 156 75 147 81 96 144
Character o f c h a n g e , a n d s h o w t h a t
Milliseconds 106 100 80 148 63 70 84 32 89 97 80 39 131 81 194 112 139 101 14 177 118 89 25 102 60
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 138 37 83 72 96 61 82 65 49 196 28 167 120 91 307 302 105 236 581 105 86 79 102 89 86
Character t o t h e s l p -p o p e o f a c u r v e
Milliseconds 78 72 90 78 57 23 97 80 50 185 447 244 35 174 106 138 70 86 90 117 95 244 114 333 79
Character a t a p p o i -i -o -p o i n t P o n t h
Milliseconds 101 91 111 43 137 189 41 161 148 107 379 149 121 171 64 54 63 122 289 138 124 83 66 100 74
Character e c u r f v e . -. -e -v -f v e . W e g i v e
Milliseconds 19 132 90 136 41 129 68 85 115 338 135 149 125 121 47 129 170 468 190 125 121 108 75 25 123
Character p r e c i s e d e v e l o p m e n t s o f t
Milliseconds 91 138 74 263 131 110 102 124 126 171 68 129 42 169 115 290 150 121 47 102 105 113 95 65 109
Character h e s e i m p o r t a n t c o n d -d c e p t s
Milliseconds 40 48 94 129 11 127 112 122 149 47 406 123 121 60 127 155 26 138 441 298 86 172 33 152 69
Character i n t h e n e x t x -x c h a p g -g t e r ,
Milliseconds 51 77 84 80 59 74 37 70 102 45 170 218 104 197 282 74 113 73 113 36 440 107 110 103 112
Character b u t f o r n o w w e u s e a n i n
Milliseconds 73 112 158 27 124 71 95 79 36 90 103 14 92 112 84 134 187 97 50 93 129 118 127 144 107
Character f o r m a l a p p r o a c h s o y o u w i
Milliseconds 116 142 65 96 117 148 129 106 81 135 143 52 140 165 106 85 161 155 79 123 85 96 42 92 67
Character l l s e e h o w t h e y l e a d n a t u
Milliseconds 145 119 123 20 86 207 74 96 74 58 80 110 44 38 111 64 90 62 72 106 82 94 107 85 111
Character r a l l y t o t h e m a i n i n d -d -n d e
Milliseconds 99 51 67 128 146 75 79 69 90 47 58 16 97 96 145 182 112 102 116 75 142 280 123 78 177
Character a o f t h i s c h a p t g e r -r -e -g e r ,
Milliseconds 66 73 95 113 42 143 54 36 112 16 177 91 85 85 89 13 90 138 263 134 121 128 58 79 109
Character t h e l i m i t . T h e i d e a o s a
Milliseconds 63 80 16 101 90 86 102 126 112 133 96 111 112 33 111 172 94 179 77 93 97 126 135 118 89
Character - -a - -s f a m i -i -m l i m i t p l a y s a
Milliseconds 281 138 122 85 105 128 65 331 374 132 342 127 194 117 80 143 170 96 506 149 36 157 136 63 140
Character a - - -a f o u n d a t i o n s a -a -s a l r
Milliseconds 56 12 543 148 309 125 141 107 117 68 152 27 101 134 51 39 62 140 201 300 118 90 92 51 134
Character o o l -l -o l e t h r o u g h o u t c a l c u l
Milliseconds 76 64 115 401 170 176 76 93 157 122 138 20 70 116 75 151 127 84 118 134 133 107 194 107 137
Character u s .
Milliseconds 185 147 70
WPM Timing
Seconds WPM
2.3 52.08
4.61 88.53
6.91 100.68
9.22 92.44
11.52 87.49
13.83 92
16.13 90.02
18.43 86.58
20.74 87.95
23.04 91.14
25.35 94.21
27.65 89.4
29.96 90.53
32.26 91.14
34.56 90.96
36.87 89.83
39.17 90.06
41.48 88.53
43.78 89.9
46.09 91.14
48.39 92.25
50.69 92.79
53 91.48
55.3 92.22
57.61 91.86
59.91 91.94
62.21 92.58
64.52 92.44
66.82 93.92
69.13 93.22
71.43 93.24
73.74 93.41
76.04 92.32
78.34 91.14
80.65 91.06
82.95 91.71
85.26 90.92
87.56 91.27
89.87 91.6
92.17 91.92
94.47 92.34
96.78 93.49
99.08 93.5
101.39 93.5
103.69 93.51
106 91.93
108.3 91.41
110.6 90.7
112.91 90.23
115.21 89.99