JusticeEX (justiceex)

Race #179692

View Pit Stop page for race #179692 by justiceex — Ghost race

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Official speed 109.16 wpm (94.98 seconds elapsed during race)
Without ending ping 109.41 wpm (216 ms delay sending score to TypeRacer’s server)
Timerless 109.56 wpm (133 ms elapsed before first character typed; 94.63 seconds elapsed during race)
Timerless minus one 109.44 wpm, ignoring the first character typed
Race Start December 28, 2023 9:33:22am UTC
Race Finish December 28, 2023 9:34:57am UTC
Outcome No win (2 of 3)
Opponents 3. delfador42 (102.82 wpm)
Accuracy 98.4%
Points 294.74
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 related to a chnge ange in another. How does the speed of a falllinging object change as a function of time? How does the levl of el 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, h help us asee more and more. In this section we introeduce the ideas of average and instanteaneous rates of change, and show that they are closely related to teh slhe slope of a curve at a point P on teh he curve. We give precise developmtents 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 o thif this chapter, wthe limit. The idea of a limit plays a foundational role throughout clalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 133 208 44 287 104 283 119 164 109 89 161 24 668 161 53 100 159 130 39 41 83 23 94 42 72
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 83 359 84 135 79 88 108 93 413 146 84 135 65 186 83 52 65 103 83 121 65 67 55 94 78
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 90 83 83 89 151 121 57 97 61 42 132 72 62 69 211 73 390 95 127 108 102 94 88 218 287
Character r e l a t e d t o a c h n g e - -e -g -n a
Milliseconds 122 96 31 154 97 153 38 158 54 99 37 84 156 99 106 76 159 61 47 124 216 125 138 130 69
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 78 76 63 45 83 66 79 76 69 39 54 51 61 85 100 58 155 55 80 71 66 62 90 65 62
Character t h e s p e e d o f a f a l l l i n g -g -n
Milliseconds 43 39 51 56 166 82 79 99 128 84 102 74 34 87 76 159 84 92 138 146 33 72 96 262 119
Character -i -l i n g o b j e c t c h a n g e a s a
Milliseconds 120 147 319 56 107 57 115 98 51 113 115 127 64 119 61 59 107 83 38 77 80 71 70 88 121
Character f u n c t i o n o f t i m e ? H o w d o e
Milliseconds 96 98 144 44 154 41 20 49 78 90 63 52 86 26 42 61 275 97 163 134 27 98 61 69 79
Character s t h e l e v l o f - -f -o - -l e l o f
Milliseconds 75 80 41 39 43 65 194 61 126 107 126 114 98 111 275 123 135 146 150 117 218 149 98 81 61
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 238 74 97 70 88 40 72 47 66 90 64 117 122 63 301 148 116 93 219 83 55 107 13 71 103
Character a s a f u n c t i o n o f t h e a m o u
Milliseconds 193 91 89 80 106 109 117 171 102 222 63 40 25 118 151 78 67 367 78 263 72 68 118 90 88
Character n t o f l i q u i d p o u r e d i n t o
Milliseconds 133 61 84 61 82 39 86 56 97 120 46 107 89 249 95 109 91 65 118 63 46 47 115 480 131
Character i t ? W e s e e c h a n g e o c c u r r i
Milliseconds 94 85 244 30 167 153 126 143 55 127 251 93 77 48 106 61 40 63 142 74 134 157 178 157 89
Character n g i n n e a r l y e v e r y t h i n g w
Milliseconds 52 81 51 110 61 65 255 68 62 55 66 56 62 132 137 115 89 63 75 37 37 67 98 51 100
Character e o b s e r v e i n t h e w o r l d a n
Milliseconds 45 104 319 127 131 46 75 143 60 48 97 33 51 51 63 17 94 60 110 55 90 47 86 60 57
Character d u n i v e r s e , a n d p o w e r f u l
Milliseconds 65 71 166 240 35 74 44 93 88 27 83 64 62 68 58 72 129 51 89 34 79 127 51 88 93
Character m o d e r n i n s t r u m e n t s , h -h - -,
Milliseconds 127 83 111 126 64 48 83 195 65 29 106 61 102 429 122 71 88 50 88 140 138 278 125 134 107
Character h e l p u s a -a s e e m o r e a n d m o
Milliseconds 84 100 88 80 158 69 96 74 125 364 83 52 153 71 65 83 44 30 68 90 34 76 61 65 36
Character r e . I n t h i s s e c t i o n w e i n
Milliseconds 91 66 103 64 151 149 79 53 53 41 75 50 153 56 184 140 30 39 16 116 145 36 130 219 45
Character t r o e -e d u c e t h e i d e a s o f a v
Milliseconds 108 64 37 123 562 89 59 80 137 100 193 51 63 69 85 42 102 56 89 137 100 90 40 131 142
Character e r a g e a n d i n s t a n t e -e a n e o u s
Milliseconds 74 74 66 129 35 74 57 91 43 59 122 71 63 102 36 77 389 74 538 35 118 64 117 79 74
Character r a t e s o f c h a n g e , a n d s h o
Milliseconds 104 126 76 121 47 97 28 128 78 61 116 20 374 99 105 82 80 66 330 193 78 91 41 76 47
Character w t h a t t h e y a r e c l o s e l y r
Milliseconds 64 85 50 78 45 70 67 79 144 22 184 13 132 87 30 83 193 79 155 64 45 126 66 89 111
Character e l a t e d t o t e h s l -l -s - -h -e h e s
Milliseconds 84 117 70 79 61 120 63 141 87 37 36 78 0 87 53 144 329 232 147 154 131 122 52 115 45
Character l o p e o f a c u r v e a t a p o i n
Milliseconds 93 147 92 98 81 74 78 47 53 101 78 109 89 146 60 75 194 94 71 93 108 175 37 56 37
Character t P o n t e h - -h -e h e c u r v e . W
Milliseconds 127 89 561 149 102 70 55 76 26 24 95 410 142 142 108 41 58 182 101 66 175 83 110 67 246
Character e g i v e p r e c i s e d e v e l o p m t -t
Milliseconds 305 89 113 73 84 79 57 140 51 79 94 70 115 52 78 140 100 117 73 65 154 92 122 130 485
Character e n t s o f t h e s e i m p o r t a n t c
Milliseconds 83 51 112 78 70 100 82 52 84 61 14 97 65 136 183 82 53 51 95 111 48 92 116 72 161
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 17 63 78 170 41 139 116 116 167 76 24 75 63 42 102 107 55 159 140 87 146 82 94 89 91
Character e r , b u t f o r n o w w e u s e a n
Milliseconds 35 105 85 55 112 50 98 71 121 55 70 51 93 93 235 153 122 77 99 156 99 56 100 108 124
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 62 122 359 200 87 103 71 95 98 108 123 79 160 52 119 50 135 39 114 131 45 98 69 64 47
Character w i l l s e e h o w t h e y l e a d n
Milliseconds 62 26 90 58 134 68 79 56 156 49 81 60 65 76 104 73 41 89 26 129 25 64 112 55 308
Character a t u r a l l y t o t h e m a i n i d e a
Milliseconds 71 47 98 93 50 30 153 79 65 183 70 376 80 28 44 72 113 53 87 65 64 113 62 121 75
Character o t h i -i -h -t - f t h i s c h a p t e r ,
Milliseconds 71 112 144 73 17 44 318 122 133 133 67 63 77 11 67 80 73 190 119 112 107 116 50 100 68
Character w -w t h e l i m i t . T h e i d e a o f
Milliseconds 66 117 353 28 89 54 39 65 31 85 141 124 127 61 185 92 42 81 169 78 105 75 30 124 70
Character a l i m i t p l a y s a f o u n d a t i
Milliseconds 59 47 114 102 29 87 125 89 93 141 43 181 293 106 92 85 137 166 135 27 149 85 286 194 87
Character o n a l r o l e t h r o u g h o u t c l -l a
Milliseconds 35 21 160 80 86 79 94 137 33 55 122 58 63 49 84 65 78 122 92 40 70 173 89 399 48
Character l c u l u s .
Milliseconds 103 87 107 360 87 108 111
WPM Timing
Seconds WPM
1.9 75.81
3.8 82.12
5.7 88.44
7.6 101.07
9.5 96.02
11.4 95.81
13.3 99.27
15.2 105.81
17.1 98.97
19 102.97
20.9 106.24
22.8 101.6
24.69 102.53
26.59 102.88
28.49 102.34
30.39 103.44
32.29 103.3
34.19 103.53
36.09 104.4
37.99 106.44
39.89 108.9
41.79 110.26
43.69 107.67
45.59 107.39
47.49 108.91
49.39 108.36
51.29 109.03
53.19 108.52
55.09 108.7
56.99 109.5
58.89 110.04
60.79 108.18
62.69 108.73
64.59 108.32
66.49 107.21
68.39 107.39
70.29 106.88
72.18 107.72
74.08 108.04
75.98 108.65
77.88 108.32
79.78 109.2
81.68 109.89
83.58 110.26
85.48 109.36
87.38 109.31
89.28 109.94
91.18 109.37
93.08 110.1
94.98 109.16