road_to_90wpm (how_to_type_80wpm)

Race #1131

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Official speed 88.57 wpm (117.06 seconds elapsed during race)
Without ending ping 89.40 wpm (1,083 ms delay sending score to TypeRacer’s server)
Timerless 89.75 wpm (461 ms elapsed before first character typed; 115.52 seconds elapsed during race)
Timerless minus one 89.65 wpm, ignoring the first character typed
Race Start October 12, 2023 10:55:59am UTC
Race Finish October 12, 2023 10:57:56am UTC
Outcome No win (2 of 5)
Opponents 4. shehab20089 (86.72 wpm)
Accuracy 97.2%
Points 239.13
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 Calculus is ta tool tathat thehelps us understand how a change in one quantity is related to chaa change in another,. . How does tht ee spee d 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 liquied d poured into it? We see change occuring iring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. I nn this section we intreooduce the diideawas of average and instanattaneous rater s of change, and hshow that they are chlosely related to the slope of a curve at a point P on the curve. wWe give precise defevelpopments of these important concepts in the next chpatapter, but for now we use an informal apporroach so you will see how they lead naturally to the main idea of theis chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s t -t a t o o l t a t -t
Milliseconds 461 154 86 101 96 105 145 107 109 63 136 48 126 316 107 81 89 128 109 140 121 151 130 69 286
Character -a h a t t h e -e -h -t h e l p s u s u n d e r
Milliseconds 115 182 44 81 46 110 52 179 294 131 126 215 78 105 154 129 55 91 113 68 137 157 116 149 87
Character s t a n d h o w a c h a n g e i n o n e
Milliseconds 127 100 82 59 131 74 91 110 100 91 140 148 106 118 52 98 58 116 67 104 103 97 115 109 114
Character q u a n t i t y i s r e l a t e d t o c
Milliseconds 48 175 93 89 79 99 96 80 100 93 87 108 70 139 79 123 25 157 135 151 95 108 58 143 79
Character h a -a -h -c a c h a n g e i n a n o t h e r ,
Milliseconds 138 65 203 129 124 138 56 141 108 60 95 48 72 81 84 87 71 97 82 143 133 48 99 84 85
Character . - -. -, . H o w d o e s t h t e -e - -t e
Milliseconds 21 75 307 116 115 205 107 183 100 137 102 280 133 28 369 174 53 106 66 89 99 300 126 115 67
Character s p e e - d o f a f a l l i n g o b j
Milliseconds 105 72 139 151 176 259 348 82 129 59 111 90 97 99 119 303 135 148 166 73 86 110 147 333 189
Character e c t c h a n g e a s a f u n c t i o n
Milliseconds 112 177 139 67 197 65 99 62 58 99 89 59 155 110 116 108 131 202 155 49 188 47 74 86 94
Character o f t i m e ? H o w d o e s t h e l e v
Milliseconds 90 118 48 136 70 91 92 302 111 210 120 95 83 133 89 73 101 75 87 88 72 81 119 36 166
Character e l o f w a t e r i n a b a r r e l c
Milliseconds 114 130 95 134 117 53 143 125 123 95 81 76 114 96 146 14 141 151 132 272 161 126 90 102 119
Character h a n g e a s a f u n c t i o n o f t h
Milliseconds 83 63 97 68 94 128 31 149 110 103 93 225 132 144 72 186 35 62 72 93 152 140 66 136 60
Character e a m o u n t o f l i q u i e d - -d -e d
Milliseconds 88 51 81 119 142 92 149 95 85 123 129 21 131 145 174 21 173 154 161 72 331 128 144 106 117
Character p o u r e d i n t o i t ? W e s e e c h
Milliseconds 148 164 183 111 127 172 61 102 104 115 75 91 136 102 273 92 242 202 126 99 184 131 87 129 76
Character a n g e o c c u r i n g i -i - -g -n -i r i n g
Milliseconds 109 44 245 124 151 127 271 145 148 101 95 99 59 72 92 245 137 151 140 167 241 65 62 101 100
Character i n n e a r l y e v e r y t h i n g w e o
Milliseconds 75 89 83 108 127 95 103 69 161 60 112 119 105 91 55 144 105 29 78 102 104 80 83 100 413
Character b s e r v e i n t h e w o r l d a n d u
Milliseconds 135 394 111 120 190 97 113 83 95 120 79 111 51 105 73 94 72 108 75 104 84 96 64 90 153
Character n i v e r s e , a n d p o w e r f u l m o d
Milliseconds 126 157 11 173 132 107 97 187 48 98 72 95 89 142 135 96 58 93 174 71 94 88 133 137 123
Character e r n i n s t r u m e n t s h e l p u s s
Milliseconds 135 84 103 95 125 134 94 130 142 118 182 101 98 65 101 99 120 164 60 156 148 103 137 26 126
Character e e m o r e a n d m o r e . I n -n - n
Milliseconds 202 182 123 118 147 87 79 103 80 86 93 48 107 132 79 89 54 74 170 113 126 355 121 248 81
Character t h i s s e c t i o n w e i n t r e o -o -e o
Milliseconds 117 38 153 152 15 189 93 173 180 24 63 73 71 124 102 121 188 112 107 169 172 124 218 105 214
Character d u c e t h e d i -i -d i d e a w a -a -w s o f
Milliseconds 85 122 60 176 108 122 88 88 88 209 38 318 102 183 67 168 145 23 120 312 104 83 107 108 106
Character a v e r a g e a n d i n s t a n a t -t -a t a
Milliseconds 67 209 170 108 142 102 108 108 125 146 97 91 79 146 102 90 180 60 113 240 56 258 94 46 66
Character n e o u s r a t e r - -r s o f c h a n g e
Milliseconds 153 122 280 169 93 96 121 96 110 76 113 48 392 108 44 97 105 98 69 127 87 37 139 40 151
Character , a n d h -h s h o w t h a t t h e y a r
Milliseconds 82 104 127 58 105 43 189 319 84 92 105 106 57 126 74 55 54 78 97 83 116 64 91 66 69
Character e c h -h l o s e l y r e l a t e d t o t h
Milliseconds 85 76 182 88 294 166 131 63 133 110 172 72 131 84 100 125 109 129 148 104 121 35 104 80 110
Character e s l o p e o f a c u r v e a t a p
Milliseconds 46 109 87 71 170 137 134 94 128 112 77 112 96 255 100 80 172 133 84 112 116 94 405 86 200
Character o i n t P o n t h e c u r v e . w -w W e
Milliseconds 201 193 140 122 144 212 149 155 108 111 123 91 83 69 146 97 114 219 96 105 62 337 414 193 187
Character g i v e p r e c i s e d e f e -e -f v e l p -p
Milliseconds 117 146 104 75 110 62 143 107 79 222 265 74 138 115 132 193 89 133 292 106 55 131 31 232 406
Character o p m e n t s o f t h e s e i m p o r t a n
Milliseconds 203 98 198 107 86 90 153 78 132 165 71 232 55 85 116 503 162 111 99 126 89 153 188 93 59
Character t c o n c e p t s i n t h e n e x t c h
Milliseconds 111 101 145 76 470 115 167 355 116 113 213 173 132 145 80 105 65 86 155 78 178 158 99 158 104
Character p a t -t -a -p a p t e r , b u t f o r n o w
Milliseconds 114 0 174 292 125 119 181 85 119 117 81 85 110 80 94 94 68 126 101 70 78 266 162 133 92
Character w e u s e a n i n f o r m a l a p p o r -r
Milliseconds 108 69 120 141 95 80 136 129 111 125 134 99 300 197 152 108 116 19 146 139 66 131 192 92 193
Character -o r o a c h s o y o u w i l l s e e h o
Milliseconds 118 97 112 113 216 55 106 98 70 159 152 83 97 35 144 63 170 138 122 59 127 164 115 142 117
Character w t h e y l e a d n a t u r a l l y t o
Milliseconds 93 88 89 70 105 95 62 93 107 87 106 145 131 108 170 87 59 92 114 146 168 26 176 42 134
Character t h e m a i n i d e a o f t h e -e i s c
Milliseconds 43 161 263 125 117 92 106 69 120 127 84 161 77 113 112 170 118 183 79 205 359 177 82 73 156
Character h a p t e r , t h e l i m i t . T h e i d
Milliseconds 103 91 41 122 92 106 55 108 78 54 93 70 95 141 138 136 112 148 90 105 131 59 108 123 116
Character e a o f a l i m i t p l a y s a f o u
Milliseconds 158 101 137 121 130 73 130 98 127 135 155 158 67 133 157 170 139 55 134 78 139 90 129 79 77
Character n d a t i o n a l r o l e t h r o u g h o u t
Milliseconds 170 42 176 145 93 19 106 192 106 129 132 71 124 109 90 121 97 82 105 82 92 123 407 70 87
Character c a l c u l u s .
Milliseconds 103 167 159 54 181 67 119 146 70 94
WPM Timing
Seconds WPM
2.34 76.88
4.68 61.51
7.02 73.47
9.36 84.57
11.71 89.19
14.05 90.55
16.39 84.94
18.73 80.09
21.07 80.87
23.41 83.03
25.75 85.27
28.09 88.42
30.44 89.5
32.78 91.16
35.12 89.19
37.46 89.06
39.8 88.94
42.14 86.85
44.48 88.21
46.82 88.93
49.17 90.06
51.51 90.63
53.85 91.15
56.19 90.77
58.53 90.83
60.87 89.5
63.21 88.84
65.55 88.6
67.89 88.37
70.24 89.01
72.58 89.12
74.92 89.86
77.26 89.46
79.6 89.7
81.94 88.89
84.28 87.7
86.62 87.55
88.97 87.4
91.31 87.4
93.65 87.13
95.99 87.26
98.33 86.89
100.67 87.49
103.01 88.07
105.35 88.27
107.7 88.36
110.04 88.66
112.38 88.84
114.72 89.12
117.06 88.57