malew (jpen369)

Race #2803

View Pit Stop page for race #2803 by jpen369 — Ghost race

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Official speed 97.23 wpm (106.63 seconds elapsed during race)
Without ending ping 97.55 wpm (227 ms delay sending score to TypeRacer’s server)
Timerless 97.86 wpm (333 ms elapsed before first character typed; 106.07 seconds elapsed during race)
Timerless minus one 97.74 wpm, ignoring the first character typed
Race Start December 6, 2023 7:04:54pm UTC
Race Finish December 6, 2023 7:06:41pm UTC
Outcome No win (2 of 4)
Opponents 1. harrisonzhu01 (118.42 wpm)
Accuracy 95.2%
Points 262.52
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 Calucul=culus is a tool that helps us undertsstand how a change in one quantiti y is related to a change in another. How does the speed of a fallimgng object chagme asnge as a function of time? JHowHBow does the level foof water in ab barrel change as ta function o f f the amount o f lioququid poured into it? We see change cooccuring in rring nein nearly everythign ng we observe in the world and univesrse, ands d powerful modern instrumbnetenmts ts help us see more and more. in In this section wer in introduce the ideas opf afa a average and instancetaneous rates of changes, and show that they are clsleosely related to the slope of a cureve at a point P on the curve. We give presccise developments of fthese impoorthese importnat atant concepst in thts in the next chapyterter, but for now we use an informal speaapppapopproach so you will see how they lead naturally to the main idea of this chapter, so the limit. THehe idea of a limit plays a foundational role throguhhuughoput ut calculus.
Timing
Character C a l u c u l -l $= -= -c -u c u l u s i s a t o
Milliseconds 333 161 107 87 78 116 50 237 159 142 118 134 95 87 120 159 98 51 66 109 88 61 136 39 25
Character o l t h a t h e l p s u s u n d e r t s -s
Milliseconds 138 146 70 33 57 20 104 29 71 77 100 139 32 69 89 121 171 115 35 88 168 89 416 84 234
Character -t s t a n d h o w a c h a n g e i n o n
Milliseconds 102 24 66 49 58 49 68 66 39 68 50 43 113 49 89 70 54 48 18 87 30 36 90 81 61
Character e q u a n t i t i - -i y i s r e l a t e d
Milliseconds 55 33 176 48 131 64 145 84 71 105 155 217 114 36 38 83 76 59 85 105 131 43 50 22 156
Character t o a c h a n g e i n a n o t h e r .
Milliseconds 50 22 52 143 108 197 40 91 76 62 31 26 74 36 56 159 132 71 50 53 64 52 60 81 22
Character H o w d o e s t h e s p e e d o f a f
Milliseconds 163 132 67 23 106 52 114 64 23 82 49 76 23 60 92 96 145 181 30 99 53 68 47 127 26
Character a l l i m g -g -m n g o b j e c t c h a g m e
Milliseconds 65 53 169 52 65 120 225 115 177 302 35 93 68 176 60 26 170 40 197 38 121 65 23 17 79
Character a s -s -a - -e -m -g n g e a s a f u n c t i o n
Milliseconds 46 142 122 139 140 140 153 127 206 35 26 39 59 130 43 158 91 322 70 25 83 168 58 0 23
Character o f t i m e ? J H o w -w -o -H -J H B -B o w d
Milliseconds 24 136 49 18 136 44 46 58 164 47 159 0 141 84 176 126 149 134 262 0 357 138 73 29 201
Character o e s t h e l e v e l f o -o -f o f w a t e
Milliseconds 49 111 23 38 73 29 71 38 81 71 108 78 58 64 58 121 217 145 59 41 67 38 51 66 75
Character r i n a b -b b a r r e l c h a n g e a s
Milliseconds 75 52 70 33 94 57 125 430 102 58 56 69 165 36 111 104 101 113 57 68 27 15 116 0 71
Character t -t a f u n c t i o n o f - -f - f t h
Milliseconds 96 148 340 76 85 70 99 77 122 181 45 0 24 20 145 112 123 70 292 126 123 56 30 130 77
Character e a m o u n t o - f l i o q u -u -q -o q u i
Milliseconds 0 52 85 43 32 151 84 50 40 76 150 454 49 20 115 35 0 101 144 228 125 145 150 116 23
Character d p o u r e d i n t o i t ? W e s e e
Milliseconds 62 39 101 276 43 59 42 147 33 48 42 94 84 55 100 46 210 78 55 189 57 59 86 138 62
Character c h a n g e c o -o -c o c c u r i n g i n - -n
Milliseconds 59 47 153 0 70 0 67 138 53 396 145 13 75 147 70 108 87 41 32 65 89 48 95 186 113
Character -i - -g -n -i -r r r i n g n e -e -n i n n e a r l y
Milliseconds 255 34 42 23 45 96 404 134 85 70 64 84 90 40 265 110 202 17 39 128 70 310 0 57 123
Character e v e r y t h i g n - -n -g n g w e o b s e
Milliseconds 38 49 143 80 106 103 58 104 71 95 0 96 306 113 140 224 39 22 47 124 44 59 52 79 39
Character r v e i n t h e w o r l d a n d u n i v
Milliseconds 73 166 11 112 66 24 88 77 212 170 25 164 40 124 103 44 69 80 0 106 67 198 75 133 62
Character e s -s r s e , a n d s - -s -d d p o w e r f u
Milliseconds 183 132 380 56 20 63 89 131 38 73 0 13 81 442 152 124 357 35 195 25 69 21 84 91 106
Character l m o d e r n i n s t r u m b n e t -t -e -n -b e
Milliseconds 43 106 84 20 31 153 20 50 89 87 44 6 68 146 37 86 165 0 75 131 148 119 132 135 248
Character n m t s - -s -t -m t s h e l p u s s e e m
Milliseconds 96 0 56 76 62 248 133 134 124 39 21 73 75 104 56 171 30 102 35 56 127 66 168 35 46
Character o r e a n d m o r e . i n - -n -i I n t h
Milliseconds 39 67 0 33 52 52 54 57 66 32 44 16 128 72 131 150 107 243 127 122 189 147 104 53 31
Character i s s e c t i o n w e r i n -n -i - -r i n t
Milliseconds 44 44 77 91 63 94 166 35 13 16 102 272 69 30 106 151 0 328 144 120 156 114 122 24 69
Character r o d u c e t h e i d e a s o p f a -a - -f
Milliseconds 142 67 144 168 29 28 80 107 60 44 116 180 0 360 74 34 103 134 0 39 51 67 217 151 133
Character -p f a a -a - -a a v e r a g e a n d i n s t
Milliseconds 138 28 78 0 288 134 139 129 46 58 74 102 141 0 153 0 69 66 98 31 61 81 52 34 62
Character a n c e -e -c t a n e o u s r a t e s o f c h
Milliseconds 56 61 140 0 332 201 354 69 108 294 133 66 16 47 114 63 98 18 67 68 120 132 63 129 52
Character a n g e s -s , a n d s h o w t h a t t h e
Milliseconds 78 68 28 29 69 432 111 115 26 145 0 58 47 109 31 65 43 180 39 66 72 13 138 153 97
Character y a r e c l s l e -e -l -s o s e l y r e l a t
Milliseconds 147 129 98 41 11 68 110 40 170 0 25 264 136 148 55 54 21 111 102 28 157 39 90 94 29
Character e d t o t h e s l o p e o f a c u r e
Milliseconds 51 181 41 88 113 126 64 41 32 75 65 34 164 152 49 35 93 61 82 34 120 135 95 89 77
Character -e v e a t a p o i n t P o n t h e c
Milliseconds 370 19 35 61 31 159 85 57 111 151 52 159 58 22 35 174 87 104 31 35 102 60 45 45 122
Character u r v e . W e g i v e p r e s c -c -s c i s e
Milliseconds 167 32 162 38 78 64 112 176 0 257 78 73 31 28 147 68 59 52 90 322 124 43 96 46 75
Character d e v e l o p m e n t s o f f t h e s e i
Milliseconds 57 98 164 82 97 112 141 19 306 50 107 29 113 47 103 68 135 45 147 45 68 54 104 26 74
Character m p o o r -r -o -i -m -p -o -f -t -h -e -s -e - t h e s e i
Milliseconds 72 56 0 105 52 220 138 258 0 0 0 132 0 0 0 0 0 0 327 67 22 103 87 0 85
Character m p o r t n a t - -t -a -n -t a -a t a n t c o n c
Milliseconds 82 38 91 75 196 50 0 136 59 381 272 153 142 103 181 232 78 43 63 121 62 124 37 36 108
Character e p s t i n t h -h -t - -n -i - -t -s t s i n t
Milliseconds 21 115 193 0 123 112 61 59 112 31 558 307 155 135 144 139 147 138 247 144 0 111 42 82 91
Character h e n e x t c h a p y t e r -r -e -t -y t e r ,
Milliseconds 35 33 85 93 34 230 79 20 194 37 81 85 22 0 44 152 196 123 134 120 72 18 95 56 66
Character b u t f o r n o w w e u s e a n i n f
Milliseconds 202 15 43 53 114 24 128 17 109 52 65 37 144 0 101 97 54 49 55 92 175 51 107 42 47
Character o r m a l s p e a -a -e -p a p p p -p -s -a -p -p a p o
Milliseconds 299 79 87 72 68 46 122 63 107 63 244 129 128 107 87 114 166 65 367 0 0 0 277 67 195
Character p -p -o p r o a c h s o y o u w i l l s e e
Milliseconds 0 214 161 57 474 158 115 48 63 66 51 36 145 58 52 99 105 24 106 30 140 76 6 90 140
Character h o w t h e y l e a d n a t u r a l l y
Milliseconds 52 66 33 52 38 62 44 58 87 53 175 79 75 101 42 83 52 99 93 90 52 40 118 62 32
Character t o t h e m a i n i d e a o f t h i s
Milliseconds 190 23 116 135 109 0 253 122 82 65 46 15 150 60 176 20 142 82 81 47 118 39 23 21 84
Character c h a p t e r , s o - -o -s t h e l i m i t .
Milliseconds 76 53 91 58 95 83 88 78 31 117 125 155 199 112 140 125 96 0 76 72 48 56 175 192 55
Character T H e -e -H h e i d e a o f a l i m i t
Milliseconds 139 111 40 68 318 115 157 29 11 121 35 170 38 34 75 71 76 12 125 255 70 92 125 61 35
Character p l a y s a f o u n d a t i o n a l r o l e
Milliseconds 96 30 21 50 71 44 125 103 92 123 34 141 20 118 109 26 0 36 115 72 84 42 78 130 66
Character t h r o g u h -h -u -g h u -u -h u g h o p u t - -t
Milliseconds 27 48 71 83 91 61 0 75 367 133 112 185 119 188 111 146 89 37 114 0 68 7 69 201 135
Character -u -p u t c a l c u l u s .
Milliseconds 150 121 163 31 59 134 43 59 141 40 94 147 118 90
WPM Timing
Seconds WPM
2.13 39.39
4.27 92.84
6.4 97.53
8.53 102.69
10.66 112.53
12.8 120.04
14.93 116.55
17.06 109.02
19.19 111.28
21.33 106.35
23.46 107.42
25.59 106.91
27.72 106.04
29.86 103.69
31.99 105.41
34.12 104.45
36.26 100.29
38.39 100.34
40.52 100.69
42.65 100.44
44.79 99.41
46.92 99.49
49.05 98.83
51.18 98.94
53.32 98.81
55.45 98.9
57.58 96.9
59.71 97.06
61.85 97.79
63.98 99.22
66.11 99.28
68.25 100.23
70.38 101.28
72.51 101.45
74.64 100.96
76.78 99.87
78.91 97.78
81.04 96.25
83.17 95.94
85.31 96.08
87.44 96.75
89.57 94.72
91.71 95
93.84 96.42
95.97 97.53
98.1 97.37
100.24 97.33
102.37 98.7
104.5 97.84
106.63 97.23