Abhishek (abhishekarnold)

Race #2439

View Pit Stop page for race #2439 by abhishekarnold — Ghost race

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Official speed 79.98 wpm (129.63 seconds elapsed during race)
Without ending ping 80.12 wpm (223 ms delay sending score to TypeRacer’s server)
Timerless 80.39 wpm (433 ms elapsed before first character typed; 128.98 seconds elapsed during race)
Timerless minus one 80.29 wpm, ignoring the first character typed
Race Start December 20, 2023 2:28:07pm UTC
Race Finish December 20, 2023 2:30:16pm UTC
Outcome Win (1 of 5)
Opponents 3. jbyte (71.40 wpm)
Accuracy 96.7%
Points 215.96
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 sonone wquuqquantity is related to a change in another. How doees the speed of a faling ling object chaange nge as afunc function of time? How does the leel ovel of water in a barrel change as a funcito notion of the amount of liqiuouid poiuured into it? We see change occurring in nearly evveryerything we obeserserve in the world and universe, and powerful modern instruments help us see more and more. inIn this section we introduce the ideas of average and instantaneaous rates of change, andsho show theat they are closely related to the slope of a curecve ave at a point P on the curvee.. We give precise developments of thes e importantn concept s is in the next chanpter, but for no ww w eue use an informal appraooach so you will see how they lead natuarally to the main idea of this chapter, the limit. The idea of a limit lays plays a foundational role throughout calculiuus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 433 136 168 593 368 167 272 130 88 112 65 103 88 79 1385 144 135 153 56 71 81 48 63 40 81
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 119 55 146 113 53 186 111 99 197 80 113 114 110 112 65 63 80 103 99 95 77 74 79 177 88
Character c h a n g e i n s o n -n -o -s o n e w q u -u -q
Milliseconds 104 82 62 104 80 46 77 93 47 57 73 88 71 248 144 159 443 62 72 73 273 0 70 434 143
Character -w u q -q -u q u a n t i t y i s r e l a t e d
Milliseconds 310 228 0 501 135 105 67 109 47 143 90 95 145 80 128 97 54 219 70 96 138 150 146 94 57
Character t o a c h a n g e i n a n o t h e r . H
Milliseconds 152 46 86 52 102 121 393 86 98 87 54 33 64 112 100 181 88 47 56 136 99 87 56 136 135
Character o w d o e e -e s t h e s p e e d o f a
Milliseconds 161 33 60 141 85 84 148 527 234 79 80 71 82 23 185 126 121 143 64 81 54 106 75 221 59
Character f a l i n g - -g -n -i l i n g o b j e c t c h
Milliseconds 204 114 167 175 89 84 59 280 148 155 153 313 64 81 63 47 91 94 175 81 64 201 33 166 87
Character a a n g e - -e -g -n -a n g e a s a f u n c -c -n
Milliseconds 185 103 122 71 55 111 171 167 147 150 151 177 61 48 60 101 72 102 27 449 134 55 49 344 152
Character -u -f f u n c t i o n o f t i m e ? H o w
Milliseconds 152 152 74 142 112 55 48 226 48 41 83 76 103 97 58 150 56 79 192 472 121 191 224 88 74
Character d o e s t h e l e e l o -o - -l -e v e l o f
Milliseconds 108 114 81 143 49 22 106 46 65 112 47 201 121 47 152 328 152 152 170 110 64 119 145 123 70
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 62 153 176 64 104 88 73 159 88 90 183 81 416 110 88 168 65 120 96 166 90 48 113 45 58
Character a s a f u n c i t o n o -o -n - -o -t -i t i o
Milliseconds 63 169 97 118 104 88 128 72 77 58 210 0 72 80 0 143 280 152 168 177 151 162 118 102 49
Character n o f t h e a m o u n t o f l i q i u o
Milliseconds 56 44 94 97 54 128 47 121 48 145 113 38 80 97 112 106 157 104 57 216 200 216 142 25 33
Character -o -u -i u i d p o i u -u -i u r e d i n t o i t
Milliseconds 399 168 160 328 72 120 120 368 65 127 291 260 122 183 113 121 101 65 119 65 114 53 83 142 80
Character ? W e s e e c h a n g e o c c u r r i n g
Milliseconds 287 139 206 200 104 115 166 136 64 102 81 56 121 39 63 55 216 170 144 63 113 122 112 53 55
Character i n n e a r l y e v v e r y -y -r -e -v e r y t
Milliseconds 49 116 68 44 134 97 62 47 97 169 39 146 150 111 81 120 146 261 161 159 153 72 22 163 184
Character h i n g w e o b e s e r -r -e -s -e s e r v e i
Milliseconds 80 72 113 40 61 123 71 103 464 105 144 175 143 64 225 168 160 167 201 144 47 186 104 79 161
Character n t h e w o r l d a n d u n i v e r s e ,
Milliseconds 88 23 95 120 89 64 159 109 85 96 99 78 208 110 96 57 87 84 108 39 114 129 117 177 119
Character a n d p o w e r f u l m o d e r n i n s t
Milliseconds 76 51 106 63 67 86 54 92 46 72 216 55 168 89 183 49 121 78 176 160 128 152 63 45 85
Character r u m e n t s h e l p u s s e e m o r e
Milliseconds 159 145 160 54 104 42 136 65 200 88 111 120 98 93 144 56 240 185 135 97 112 55 65 40 72
Character a n d m o r e . i n -n -i I n t h i s s e c
Milliseconds 78 113 47 56 106 78 64 57 199 34 431 273 264 127 168 176 185 70 89 55 69 51 169 195 0
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 213 90 40 63 54 185 81 96 273 104 146 148 91 190 81 167 479 82 77 82 88 54 104 138 63
Character a s o f a v e r a g e a n d i n s t a n t
Milliseconds 64 154 70 79 101 60 145 223 160 89 113 96 79 38 141 93 91 60 63 75 34 77 80 137 119
Character a n e a -a o u s r a t e s o f c h a n g e ,
Milliseconds 95 536 91 102 434 189 72 72 89 168 88 128 80 161 81 111 73 46 423 177 33 150 115 53 120
Character a n d s h o -o -h -s s h o w t h e -e a t t h
Milliseconds 120 63 89 64 152 121 61 330 144 168 71 155 103 46 56 122 80 96 95 417 65 57 29 112 96
Character e y a r e c l o s e l y r e l a t e d t o
Milliseconds 88 66 39 108 76 80 35 166 103 145 13 154 56 144 89 506 47 119 153 78 91 119 53 147 38
Character t h e s l o p e o f a c u r e c -c v e
Milliseconds 91 59 147 135 63 154 102 163 63 104 47 119 112 97 33 112 134 129 75 287 0 349 48 64 74
Character a -a - -e -v -e v e a t a p o i n t P o n
Milliseconds 112 326 160 161 151 170 152 48 84 106 153 496 64 655 160 22 131 41 222 23 305 73 128 72 87
Character t h e c u r v e e . -. -e . W e g i v e p r
Milliseconds 25 136 81 38 128 79 120 361 82 166 255 321 160 552 121 399 152 71 192 73 233 246 144 177 87
Character e c i s e d e v e l o p m e n t s o f t h e
Milliseconds 64 185 89 110 152 59 140 42 153 88 102 179 52 185 72 113 40 159 28 204 113 40 135 73 113
Character s - e i m p o r t a n t n -n c o n c e p t
Milliseconds 120 338 404 88 75 112 71 104 31 96 143 120 65 112 120 320 87 209 38 90 96 54 154 62 139
Character s i -i - -s - s i n t h e n e x t c h a n
Milliseconds 0 87 215 264 161 168 151 56 81 102 57 41 80 62 67 65 105 60 219 72 45 218 96 30 145
Character -n p t e r , b u t f o r n o w -w - w w
Milliseconds 447 151 92 117 79 145 89 128 71 144 40 328 81 95 48 136 248 96 42 358 146 54 49 135 92
Character e u -u -e - e u s e a n i n f o r m a l a p
Milliseconds 0 349 203 156 144 81 71 106 97 133 74 158 91 141 113 46 99 118 32 89 103 112 104 97 119
Character p r a o -o -a o a c h s o y o u w i l l s e
Milliseconds 114 114 29 311 304 136 193 73 95 98 278 359 59 69 162 126 27 45 124 118 294 136 96 47 170
Character e h o w t h e y l e a d n a t u a -a r a l
Milliseconds 128 98 64 78 72 54 105 64 113 39 49 166 75 53 179 143 176 88 80 106 136 342 73 23 113
Character l y t o t h e m a i n i d e a o f t h
Milliseconds 167 184 432 87 90 80 215 65 110 35 117 107 80 60 43 238 243 59 66 105 97 54 80 520 113
Character i s c h a p t e r , t h e l i m i t . T h
Milliseconds 46 0 97 176 144 104 74 206 80 89 168 74 36 105 97 54 89 32 121 80 72 223 91 142 128
Character e i d e a o f a l i m i t l a y s - -s
Milliseconds 97 52 1339 90 52 65 144 305 127 32 73 136 199 450 230 48 136 81 273 118 82 96 106 243 504
Character -y -a -l p l a y s a f o u n d a t i o n a l r
Milliseconds 33 46 29 413 129 144 80 118 83 102 89 231 40 60 69 53 98 120 113 63 55 129 96 96 231
Character o l e t h r o u g h o u t c a l c u l i u -u -i
Milliseconds 80 145 115 125 160 72 128 73 22 113 98 253 47 116 78 274 100 33 216 108 212 98 0 408 149
Character u s .
Milliseconds 161 498 80
WPM Timing
Seconds WPM
2.59 50.91
5.19 60.17
7.78 78.68
10.37 74.06
12.96 68.5
15.56 74.83
18.15 76.04
20.74 78.11
23.33 77.14
25.93 73.13
28.52 73.63
31.11 74.06
33.7 74.77
36.3 77.03
38.89 76.52
41.48 74.92
44.08 74.6
46.67 75.6
49.26 76.49
51.85 75.91
54.45 76.04
57.04 78.26
59.63 79.29
62.22 81
64.82 80.35
67.41 80.64
70 82.28
72.59 81.82
75.19 81.24
77.78 82.23
80.37 82.86
82.96 81.72
85.56 80.93
88.15 80.73
90.74 80.14
93.34 80.87
95.93 80.44
98.52 80.51
101.11 80.46
103.71 79.61
106.3 79.93
108.89 80.01
111.48 80.41
114.08 80.68
116.67 81.26
119.26 80.9
121.85 80.56
124.45 80.13
127.04 80.67
129.63 79.98