NTFY (soarlikeaneagle)

Race #11302

View Pit Stop page for race #11302 by soarlikeaneagle — Ghost race

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Official speed 112.04 wpm (92.54 seconds elapsed during race)
Without ending ping 112.17 wpm (106 ms delay sending score to TypeRacer’s server)
Timerless 112.69 wpm (426 ms elapsed before first character typed; 92.01 seconds elapsed during race)
Timerless minus one 112.56 wpm, ignoring the first character typed
Race Start December 26, 2023 3:27:42am UTC
Race Finish December 26, 2023 3:29:15am UTC
Outcome No win (1 of 1)
Accuracy 98.4%
Points 302.50
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 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 sWe see change occurring in nearly everything we observe in the world nad nd universe, and powerfu. modl modern instruments help us see more and more. In this section we introduce the ideas of averagae and instanteanoeeous slrates of change, and show that they are closely related to the slope of a curve at t a point P on the curve. WEWe give preceisise developments of these important concepts in the next chapter, but for now we use a nn 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.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 426 127 89 202 117 157 101 92 107 78 87 100 67 96 98 40 145 161 81 56 87 47 82 38 59
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 99 75 153 69 75 59 79 90 80 60 87 112 69 71 97 49 76 68 73 53 50 46 79 63 108
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 196 79 95 60 65 106 57 31 45 134 54 54 84 113 84 96 79 108 94 177 69 162 87 70 83
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 101 79 61 137 79 95 69 130 35 50 69 66 68 100 185 86 81 75 49 88 77 0 37 129 44
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 64 92 70 63 103 59 60 123 99 133 37 82 92 57 78 41 98 27 92 57 63 67 97 73 123
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 151 69 18 117 87 68 91 7 104 77 160 69 75 65 60 47 103 117 114 156 106 107 106 103 84
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 81 26 140 67 72 77 117 79 101 108 104 90 40 139 31 55 54 64 119 0 106 62 52 64 54
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 163 146 84 196 59 84 98 73 65 62 112 16 49 82 96 47 83 173 75 85 104 146 103 92 46
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 64 83 107 80 55 44 59 85 37 114 69 89 207 207 221 147 125 171 81 76 68 62 79 156 66
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 56 120 60 105 81 95 71 104 135 36 39 56 99 90 88 143 1015 73 61 72 116 90 128 83 166
Character t o f l i q u i d p o u r e d i n t o i
Milliseconds 150 93 101 61 73 162 87 294 130 168 75 81 99 93 238 121 63 167 57 74 71 133 124 107 157
Character t ? w e s -s - -e -w W e s e e c h a n g e
Milliseconds 92 161 433 304 70 195 47 207 119 129 129 80 166 92 60 57 105 136 139 105 65 89 80 94 85
Character o c c u r r i n g i n n e a r l y e v e r y
Milliseconds 71 120 119 99 102 134 137 63 72 100 96 86 69 78 109 72 36 110 101 64 94 111 110 57 55
Character t h i n g w e o b s e r v e i n t h e w
Milliseconds 141 61 119 117 44 84 106 42 157 195 139 129 65 54 166 96 144 570 57 80 70 56 93 83 67
Character o r l d n a d -n -d - n d u n i v e r s e ,
Milliseconds 61 129 55 132 64 85 0 180 91 685 0 0 80 61 82 96 107 84 74 136 71 63 64 125 92
Character a n d p o w e r f u . m o d -d -o -m - -. l m o
Milliseconds 32 91 73 67 113 74 104 15 69 138 72 139 97 25 115 62 405 145 131 290 170 394 132 217 67
Character d e r n i n s t r u m e n t s h e l p u s
Milliseconds 65 127 59 75 104 102 85 104 91 135 48 133 78 83 42 89 85 84 177 68 148 69 85 37 97
Character s e e m o r e a n d m o r e . I n t h i
Milliseconds 118 69 147 96 103 40 36 47 74 79 91 37 113 270 75 66 22 164 81 116 129 89 72 45 77
Character s s e c t i o n w e i n t r o d u c e t h
Milliseconds 79 68 101 46 179 97 31 68 21 74 50 133 148 104 72 87 156 72 110 92 98 112 74 60 66
Character e i d e a s o f a v e r a g a -a e a n d
Milliseconds 70 103 42 87 106 88 54 94 78 89 257 113 148 145 56 182 22 133 419 477 154 65 114 42 78
Character i n s t a n t e -e a n o e -e -o e o u s s l -l -s r
Milliseconds 74 56 56 60 95 86 103 109 328 78 136 145 115 302 108 87 124 52 112 111 169 183 279 122 164
Character a t e s o f c h a n g e , a n d s h o w
Milliseconds 71 92 46 126 87 50 76 72 104 83 80 80 43 100 79 81 50 94 101 94 382 85 104 73 123
Character t h a t t h e y a r e c l o s e l y r e l
Milliseconds 61 61 71 68 67 299 88 96 106 41 49 25 60 88 98 49 147 23 33 114 81 39 128 44 65
Character a t e d t o t h e s l o p e o f a c u
Milliseconds 84 48 93 128 15 77 81 72 41 84 96 69 508 86 142 141 197 137 234 45 97 33 115 70 102
Character r v e a t t a -t - - p o i n t P o n
Milliseconds 52 157 109 83 40 119 67 88 137 48 127 576 0 0 190 60 92 202 60 71 88 459 107 108 57
Character t h e c u r v e . W E -E -W W e g i v e p
Milliseconds 60 67 74 59 84 97 106 38 175 125 148 140 237 18 307 128 95 144 81 161 118 67 84 94 40
Character r e c e i s -s -i -e i s e d e v e l o p m e n t s
Milliseconds 115 65 150 68 126 104 190 131 133 310 57 74 113 198 148 124 59 68 159 146 129 97 76 69 84
Character o f t h e s e i m p o r t a n t c o n c e
Milliseconds 85 32 90 109 61 123 77 90 98 117 115 80 97 405 127 123 89 99 60 113 132 59 91 38 140
Character p t s i n t h e n e x t c h a p t e r ,
Milliseconds 82 91 106 87 39 54 98 23 75 70 105 32 66 145 100 119 123 83 87 99 89 104 82 65 93
Character b u t f o r n o w w e u s e a n -n - n
Milliseconds 86 63 47 97 95 64 97 69 24 73 63 117 101 51 162 110 57 55 125 78 119 134 228 122 172
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 99 47 69 65 120 95 65 131 95 85 118 105 133 84 132 123 126 69 88 67 93 102 183 84 77
Character w i l l s e e h o w t h e y l e a d n
Milliseconds 78 54 85 169 105 85 35 51 145 91 85 67 77 99 38 70 89 167 120 144 74 110 247 286 178
Character a t u r a l l y t o t h e m a i n i d e a
Milliseconds 49 112 132 59 108 49 115 64 83 100 41 89 51 51 87 89 24 119 39 118 55 84 55 119 89
Character o f t h i s c h a p t e r , t h e l i m
Milliseconds 70 20 120 68 46 67 51 62 102 187 81 83 80 134 124 60 65 92 67 52 95 88 30 55 180
Character i t . T h e i d e a o f a l i m i t p
Milliseconds 52 117 114 112 45 113 69 96 59 14 131 102 54 64 96 90 81 73 60 37 138 81 73 101 68
Character l a y s a f o u n d a t i o n a l r o l e
Milliseconds 64 102 167 108 80 87 80 110 128 62 134 42 90 71 60 76 9 214 91 106 24 107 156 76 133
Character t h r o u g h o u t c a l c u l u s .
Milliseconds 72 118 66 126 26 67 102 109 62 54 83 111 73 78 97 96 269 130 111 112
WPM Timing
Seconds WPM
1.85 90.77
3.7 116.71
5.55 129.68
7.4 128.05
9.25 134.86
11.1 136.16
12.96 136.16
14.81 137.78
16.66 138.32
18.51 138.1
20.36 134.98
22.21 130.22
24.06 128.18
25.91 126.43
27.76 120.17
29.61 119.14
31.46 119.76
33.31 119.59
35.16 118.76
37.02 116.38
38.87 114.86
40.72 111.7
42.57 112.48
44.42 113.47
46.27 114.37
48.12 114.96
49.97 112.63
51.82 111.85
53.67 109.33
55.52 110.01
57.37 110.85
59.22 111.64
61.08 111.21
62.93 109.84
64.78 109.85
66.63 108.78
68.48 107.25
70.33 107.67
72.18 107.56
74.03 108.28
75.88 109.28
77.73 108.68
79.58 108.87
81.43 109.19
83.28 109.5
85.14 110.22
86.99 111.05
88.84 111.58
90.69 111.94
92.54 112.04