JGB 🇭🇹 (jgb000)

Race #28814

View Pit Stop page for race #28814 by jgb000 — Ghost race

View profile for JGB 🇭🇹 (jgb000)

Official speed 92.07 wpm (112.61 seconds elapsed during race)
Without ending ping 92.19 wpm (148 ms delay sending score to TypeRacer’s server)
Timerless 92.52 wpm (404 ms elapsed before first character typed; 112.06 seconds elapsed during race)
Timerless minus one 92.42 wpm, ignoring the first character typed
Race Start June 17, 2024 2:03:46am UTC
Race Finish June 17, 2024 2:05:39am UTC
Outcome No win (2 of 5)
Opponents 1. superflytypeguy (96.24 wpm)
3. sourish1997 (90.63 wpm)
Accuracy 97.1%
Points 248.60
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 quantity is releatedated to a change in another. How does the speed of a falling object change as a function of time? How does the leevelvel of atwater in a barrel change as a function of the maomaoamount of liquid poured oninto it? We see change occurring in nearly everything we observe in the world and uinvniverse, and powerful modern instruments help us see more and more. In this section we introduce the ideas of eaverage and instantaneous arates of change, and show that they are closely related to the solope of a cuvrve at a point P on the curve. weWe give precise developments of tehsehethese important concepts in the next chapert]pter ,, but for now e we ues an se an informat ppl papapproach o yoso you will see how they lead naturally to the main diidea of this chapter, the limit. The idea of a milimit plays a foundational role throuhghout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 404 69 129 714 82 124 215 127 88 134 35 114 122 63 97 101 118 174 157 69 115 56 79 66 153
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 81 46 152 85 100 66 64 103 118 164 33 166 52 134 86 114 49 101 64 139 61 84 51 131 69
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 250 85 83 50 48 118 115 102 100 168 165 84 54 59 184 118 151 51 182 36 132 67 103 165 77
Character r e l e a t e d -d -e -t -a -e a t e d t o a c
Milliseconds 71 136 95 69 116 51 46 103 159 242 104 146 138 130 106 27 82 193 38 83 124 68 128 158 110
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 47 99 56 392 121 83 119 80 100 117 64 119 67 72 58 105 98 103 469 161 99 66 124 97 52
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 63 84 98 100 39 112 134 118 68 147 161 87 73 47 101 78 149 104 84 99 119 121 75 51 67
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 81 87 133 88 184 93 54 330 116 68 81 38 100 130 101 86 65 114 98 53 194 149 36 87 46
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 126 76 56 132 65 68 135 84 78 67 199 108 203 108 82 85 136 92 52 50 70 67 67 61 72
Character l e e v e l -l -e -v -e v e l o f a t -t -a w a t e
Milliseconds 104 42 102 175 81 96 299 101 150 148 49 70 135 61 136 16 135 82 133 308 142 90 42 67 89
Character r i n a b a r r e l c h a n g e a s a
Milliseconds 111 74 92 64 88 80 98 134 122 60 192 98 118 99 150 69 62 84 47 53 96 70 71 60 109
Character f u n c t i o n o f t h e m a o -o -a -m m a
Milliseconds 95 36 134 145 50 68 38 129 65 102 68 64 101 231 88 43 72 118 28 170 348 133 136 232 0
Character o -o -a -m a m o u n t o f l i q u i d p o u r
Milliseconds 231 309 110 135 152 101 108 106 172 77 67 32 104 63 98 40 288 125 65 135 99 178 21 164 104
Character e d o n -n -o i n t o i t ? W e s e e c h
Milliseconds 86 175 72 66 66 368 117 225 24 80 35 107 123 108 262 89 174 107 97 68 65 138 64 167 134
Character a n g e o c c u r r i n g i n n e a r l y
Milliseconds 51 99 134 47 120 157 126 358 146 111 138 136 89 58 101 176 182 71 332 100 137 52 92 120 104
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 111 136 83 78 70 89 80 64 100 68 65 100 83 89 135 129 133 116 7 177 100 71 95 48 65
Character t h e w o r l d a n d u i n v -v -n -i n i v e
Milliseconds 54 64 40 63 49 68 45 103 40 109 103 65 118 65 173 202 0 164 351 128 136 216 65 48 166
Character r s e , a n d p o w e r f u l m o d e r n
Milliseconds 126 127 187 216 131 64 118 33 99 191 144 99 36 68 141 92 44 107 198 84 86 160 62 103 48
Character i n s t r u m e n t s h e l p u s s e e m
Milliseconds 103 71 93 35 155 153 150 74 83 82 88 66 136 133 39 123 257 195 52 101 117 157 138 77 72
Character o r e a n d m o r e . I n t h i s s e c
Milliseconds 94 56 40 68 221 76 101 69 76 77 71 70 294 88 191 149 132 64 83 49 106 61 134 45 224
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 102 114 101 50 82 134 72 96 102 41 54 132 91 48 182 42 157 60 58 100 12 83 120 39 138
Character a s o f e -e a v e r a g e a n d i n s t a
Milliseconds 51 157 127 139 55 72 120 370 101 93 755 81 122 116 76 85 257 118 62 119 15 69 374 166 106
Character n t a n e o u s a -a r a t e s o f c h a n g
Milliseconds 82 246 93 646 211 142 82 80 117 329 306 117 88 90 51 143 107 145 55 92 128 117 39 89 35
Character e , a n d s h o w t h a t t h e y a r e
Milliseconds 71 236 80 84 77 43 76 117 82 68 66 83 66 86 32 84 56 125 22 131 20 96 53 84 96
Character c l o s e l y r e l a t e d t o t h e s
Milliseconds 50 180 87 153 51 34 130 116 83 117 81 86 96 83 53 172 62 58 108 53 69 85 52 92 163
Character o -o l o p e o f a c u v -v r v e a t a
Milliseconds 117 416 175 149 63 86 100 99 62 72 62 126 76 156 265 317 80 188 96 87 97 93 74 71 108
Character p o i n t P o n t h e c u r v e . w e -e
Milliseconds 156 28 97 69 72 31 267 148 197 75 31 116 20 75 66 138 90 57 218 68 140 99 547 84 181
Character -w W e g i v e p r e c i s e d e v e l o p m
Milliseconds 150 317 77 89 116 73 97 61 97 57 101 96 257 129 83 99 134 211 138 84 80 51 149 34 187
Character e n t s o f t e h s e -e -s -h -e -t h e -e -h t h e
Milliseconds 100 70 106 69 68 116 57 68 77 84 14 146 90 306 230 139 127 164 204 63 259 115 83 62 130
Character s e i m p o r t a n t c o n c e p t s i n
Milliseconds 103 112 68 248 87 52 61 52 134 100 36 114 35 177 72 46 69 153 40 91 99 56 129 56 80
Character t h e n e x t c h a p e r -r -e -p t ] -] -t p t e
Milliseconds 35 80 63 38 158 110 183 95 51 118 98 50 119 133 66 278 93 165 172 415 264 245 293 46 113
Character r , -, - , b u t f o r n o w e - -e w e
Milliseconds 109 39 161 334 108 223 93 148 47 107 56 109 18 105 47 44 72 44 76 90 156 329 137 298 100
Character u e s a n - -n -a - -s -e s e a n i n f o r
Milliseconds 103 97 83 0 101 108 43 124 249 128 134 133 116 149 63 52 101 184 133 244 190 49 122 23 116
Character m a t p p -p -p - -t l p a p -p -a -p a p p r o a c
Milliseconds 109 113 100 132 210 144 264 73 152 133 294 133 115 99 180 391 138 122 94 111 136 96 180 323 348
Character h o y o -o -y - -o s o y o u w i l l s e e
Milliseconds 151 72 428 94 118 105 233 133 150 135 132 99 100 62 84 89 41 118 85 50 135 66 585 50 162
Character h o w t h e y l e a d n a t u r a l l y
Milliseconds 77 60 54 49 113 300 102 73 91 54 148 34 82 113 86 115 69 83 81 72 67 44 147 107 69
Character t o t h e m a i n d i -i -d i d e a o f t
Milliseconds 66 79 57 69 46 50 67 79 84 114 69 65 78 90 298 121 203 49 96 92 127 96 56 68 78
Character h i s c h a p t e r , t h e l i m i t . T
Milliseconds 81 23 87 58 135 163 10 151 64 99 81 100 79 70 117 53 113 250 175 109 74 108 125 107 155
Character h e i d e a o f a m i -i -m l i m i t p l
Milliseconds 129 28 112 77 65 115 56 97 116 68 67 81 133 138 94 424 131 200 51 63 90 97 67 84 151
Character a y s a f o u n d a t i o n a l r o l e t
Milliseconds 51 127 86 81 134 131 121 63 75 178 51 21 75 18 123 59 99 102 86 192 109 160 54 49 90
Character h r o u h -h g h o u t c a l c u l u s .
Milliseconds 110 74 69 46 189 345 95 81 92 93 53 72 294 132 81 204 130 270 150 101 60
WPM Timing
Seconds WPM
2.25 63.94
4.5 90.58
6.76 101.23
9.01 103.9
11.26 93.77
13.51 95.91
15.77 98.19
18.02 99.9
20.27 103.6
22.52 102.3
24.77 99.3
27.03 102.12
29.28 100.41
31.53 97.81
33.78 95.55
36.04 96.91
38.29 95.91
40.54 97.39
42.79 98.71
45.04 97.24
47.3 98.19
49.55 99.05
51.8 99.61
54.05 101.01
56.3 99.32
58.56 98.78
60.81 97.29
63.06 98.76
65.31 99.95
67.57 99.99
69.82 99.52
72.07 99.07
74.32 98.65
76.57 98.26
78.83 96.67
81.08 97.83
83.33 96.05
85.58 95.35
87.84 94.13
90.09 93.51
92.34 91.49
94.59 90.45
96.84 89.83
99.1 90.09
101.35 90.58
103.6 91.62
105.85 92.05
108.11 91.69
110.36 92.32
112.61 92.07