Average100mphracer (averagemphracer)

Race #8

View Pit Stop page for race #8 by averagemphracer — Ghost race

View profile for Average100mphracer (averagemphracer)

Official speed 94.47 wpm (109.75 seconds elapsed during race)
Without ending ping 94.84 wpm (429 ms delay sending score to TypeRacer’s server)
Timerless 95.11 wpm (311 ms elapsed before first character typed; 109.01 seconds elapsed during race)
Timerless minus one 95.00 wpm, ignoring the first character typed
Race Start March 13, 2024 8:21:18am UTC
Race Finish March 13, 2024 8:23:07am UTC
Outcome No win (2 of 3)
Accuracy 97.1%
Points 255.06
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 i s a tool that helps us understand how a change in one quanittity is trelated to ta 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 barerel change as a function of thje ae amount of liquid poured into it? We se e change occurinring in nearly everything we obeserve in the world and universe, and we powerful modern instruments hleelp us see more and more. In this section we introduce the ideas of average and sininstantaneous rates of change a,se, and show that they cdleare closely related to the slope of a curve at a point pP ofn the curve. We give precise developments of these important coonncepts in the next chapter, but for noeww we use tan informal approach suo 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 throughjghohout calculus.
Timing
Character C a l c u l u s i - s a t o o l t h a t
Milliseconds 311 208 115 179 86 206 236 109 60 70 179 278 292 95 98 103 81 197 122 165 84 63 65 71 61
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 61 84 101 52 122 70 72 73 80 101 75 155 45 67 118 96 76 91 49 92 52 67 206 70 85
Character a c h a n g e i n o n e q u a n i t -t -i t
Milliseconds 95 108 55 144 86 103 80 98 83 50 124 79 123 147 58 63 117 110 139 135 224 122 197 140 118
Character i t y i s t -t r e l a t e d t o t -t a c
Milliseconds 95 137 165 77 361 248 93 104 245 84 76 56 117 62 90 142 110 92 107 75 62 265 111 79 51
Character h a n g e i n a n o t h e r , . -. -, . H o w
Milliseconds 81 111 71 226 133 82 79 176 121 86 43 152 61 97 45 67 193 0 329 135 218 140 208 133 130
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 61 56 40 98 54 55 81 51 102 52 42 85 71 125 139 47 64 87 75 84 130 56 46 43 125
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 161 109 83 53 41 137 103 108 83 146 59 112 45 88 86 72 139 76 93 76 92 69 127 76 108
Character n c t i o n o f t i m e ? H o w d o e s
Milliseconds 145 61 141 39 115 157 91 86 66 64 82 23 130 72 128 120 147 227 92 109 78 136 64 61 48
Character t h e l e v e l o f w a t e r i n a b
Milliseconds 80 39 128 38 93 74 162 71 100 91 86 69 59 54 70 55 99 97 46 84 151 54 77 108 85
Character a r e -e r e l c h a n g e a s a f u n c t
Milliseconds 135 61 153 275 114 56 125 352 532 83 107 56 76 66 64 104 82 87 64 119 53 72 157 31 142
Character i o n o f t h j e a -a - -e -j e a m o u n t
Milliseconds 38 116 148 70 78 72 66 68 22 0 108 42 52 196 139 133 148 88 56 60 47 159 128 130 98
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 37 70 82 66 54 126 94 106 137 115 60 323 174 155 70 66 128 56 48 124 110 60 121 62 102
Character ? W e s e - e c h a n g e o c c u r i n
Milliseconds 119 154 179 213 97 71 74 158 440 137 82 94 56 84 60 447 116 90 110 53 151 122 110 101 186
Character -n -i r i n g i n n e a r l y e v e r y t h i
Milliseconds 238 138 106 107 140 62 58 91 135 58 96 38 80 89 98 78 68 133 223 122 59 144 134 43 119
Character n g w e o b e -e s e r v e i n t h e w o
Milliseconds 140 48 68 143 86 66 106 133 246 273 89 62 146 156 101 78 54 138 36 44 83 75 50 40 56
Character r l d a n d u n i v e r s e , a n d w e
Milliseconds 145 82 122 110 300 114 71 50 71 147 175 338 138 118 133 91 179 187 69 92 73 53 110 60 83
Character - -e -w p o w e r f u l m o d e r n i n s t r u
Milliseconds 216 158 146 377 136 80 52 139 135 35 162 96 72 144 116 183 86 116 126 88 140 145 57 163 68
Character m e n t s h l e -e -l e l p u s s e e m o r
Milliseconds 445 110 96 80 100 83 97 233 146 180 139 107 64 137 102 99 79 100 92 50 143 58 74 143 19
Character e a n d m o r e . I n t h i s s e c t i
Milliseconds 64 49 73 58 86 63 36 157 99 55 205 174 137 195 139 72 42 132 44 72 84 43 158 136 70
Character o n w e i n t r o d u c e t h e i d e a s
Milliseconds 108 202 84 96 89 64 127 157 54 316 81 162 91 105 132 116 44 93 85 45 80 56 132 32 345
Character o f a v e r a g e a n d s i n -n -i -s i n s
Milliseconds 120 348 74 82 80 115 120 95 105 104 74 90 64 84 67 72 58 55 173 348 151 152 308 143 67
Character t a n t a n e o u s r a t e s o f c h a n g
Milliseconds 85 94 124 132 109 344 224 282 210 125 298 132 113 97 158 47 69 66 49 82 74 24 97 85 76
Character e a -a - -e , -, s -s e , a n d s h o w t h a
Milliseconds 99 63 85 246 137 135 201 288 180 507 82 234 106 72 184 105 84 80 50 166 74 51 66 48 274
Character t t h e y c d l e -e -l -d -c a r e c l o s e l
Milliseconds 79 79 112 41 102 84 68 134 10 83 143 196 145 140 142 250 51 71 69 81 215 162 65 39 91
Character y r e l a t e d t o t h e s l o p e o f
Milliseconds 120 76 114 86 94 112 68 89 128 122 78 88 72 58 92 72 83 94 170 130 136 70 58 51 85
Character a c u r v e a t a p o i n t p -p P o
Milliseconds 79 48 101 43 83 79 174 91 106 62 100 79 55 128 106 173 158 133 115 171 264 310 232 223 276
Character f -f n t h e c u r v e . W e g i v e p r
Milliseconds 104 261 224 79 43 78 96 65 107 60 104 147 120 87 170 147 185 86 114 102 80 108 86 319 76
Character e c i s e d e v e l o p m e n t s o f t h e
Milliseconds 88 274 84 136 66 78 273 146 173 134 79 175 327 452 84 112 47 77 66 85 68 79 54 36 131
Character s e i m p o r t a n t c o o n -n -o n c e p t s
Milliseconds 80 102 52 178 148 175 132 32 140 78 67 107 71 334 5 133 266 220 135 196 110 96 102 122 110
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 60 65 134 73 25 66 92 50 195 69 170 153 71 105 238 168 122 113 112 84 98 179 232 79 95
Character f o r n o e w -w -e w w e u s e t -t a n
Milliseconds 82 791 68 90 93 197 188 45 104 289 155 102 157 81 106 74 119 52 56 69 85 311 114 102 92
Character i n f o r m a l a p p r o a c h s u -u o y o
Milliseconds 87 133 53 123 56 108 122 119 210 292 126 145 102 126 102 116 80 144 58 209 292 170 125 60 53
Character u w i l l s e e h o w t h e y l e a d
Milliseconds 138 62 41 62 156 116 130 235 72 138 102 86 171 95 40 123 42 252 100 62 114 109 69 131 114
Character n a t u r a l l y t o t h e m a i n i d e
Milliseconds 192 94 84 110 167 74 76 136 128 76 184 92 93 52 80 89 42 66 65 107 133 80 105 84 122
Character a o f t h i s c h a p t e r , t h e l i
Milliseconds 64 173 135 108 89 86 58 138 47 75 66 68 96 124 65 88 90 92 140 53 77 80 64 83 144
Character m i t . T h e i d e a o f a l i m i t
Milliseconds 130 140 94 124 145 142 125 106 86 75 73 133 42 74 87 74 104 74 114 45 137 145 138 74 50
Character p l a y s a f o u n d a t i o n a l r o l e
Milliseconds 26 128 58 56 154 265 100 152 86 67 129 139 80 63 107 40 126 169 107 103 150 118 60 131 69
Character t h r o u g h j -j -h g h o -o -h -g h o u t c a l
Milliseconds 82 64 30 110 71 138 102 30 0 266 150 327 79 211 215 144 126 149 151 155 87 74 131 84 98
Character c u l u s .
Milliseconds 112 86 468 173 102 114
WPM Timing
Seconds WPM
2.19 54.67
4.39 90.21
6.58 103.87
8.78 97.04
10.97 94.03
13.17 95.67
15.36 94.5
17.56 99.09
19.75 102.05
21.95 104.97
24.14 105.86
26.34 105.24
28.53 103.87
30.73 104.26
32.92 103.14
35.12 101.48
37.31 101.62
39.51 101.14
41.7 101.86
43.9 99.77
46.09 99.71
48.29 97.91
50.48 99.59
52.68 100.23
54.87 100.16
57.07 99.67
59.26 98
61.46 98.02
63.65 95.39
65.85 95.49
68.04 95.23
70.24 96.53
72.43 95.92
74.63 95.35
76.82 95.13
79.02 94.61
81.21 95.3
83.41 94.81
85.6 94.76
87.8 93.49
89.99 93.74
92.19 93.07
94.38 93.45
96.58 93.81
98.77 94.64
100.97 95.08
103.16 95.73
105.36 96.24
107.55 94.95
109.75 94.47