Roadsweeper Dropping D; (kahow)

Race #55080

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Official speed 150.39 wpm (68.94 seconds elapsed during race)
Without ending ping 150.85 wpm (212 ms delay sending score to TypeRacer’s server)
Timerless 152.29 wpm (648 ms elapsed before first character typed; 68.08 seconds elapsed during race)
Timerless minus one 152.11 wpm, ignoring the first character typed
Race Start October 25, 2023 5:23:15am UTC
Race Finish October 25, 2023 5:24:24am UTC
Outcome Win (1 of 5)
Opponents 2. aceycanttype (140.48 wpm)
3. sstormwolf22 (131.27 wpm)
Accuracy 98.7%
Points 406.05
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 hos w 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 leve ll 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 instantenaneous ratew os of change, and sho that how that they are closely related to the slope o ff 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 informatl l approach so you will see how they lead naturally to the main idea of this chatperpter, the limit. The idea of a limit plays taa foundational role throughout calcululs.s.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 648 106 39 137 164 105 85 84 83 35 89 57 61 43 123 72 115 110 108 46 64 30 48 38 47
Character e l p s u s u n d e r s t a n d h o s - -s
Milliseconds 58 64 38 89 51 58 54 110 18 128 61 123 68 84 35 28 89 78 41 47 44 58 131 153 61
Character w a c h a n g e i n o n e q u a n t i t
Milliseconds 151 104 74 84 24 59 57 55 37 66 11 47 50 72 82 49 61 132 41 85 68 63 94 57 83
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 57 49 49 24 92 51 44 57 82 36 33 111 66 70 66 18 40 96 47 87 98 47 33 62 95
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 53 53 85 47 60 44 55 57 60 63 31 79 101 155 86 112 81 83 90 32 63 58 77 5 99
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 21 122 66 91 121 82 29 66 60 47 87 47 32 77 124 46 65 16 86 53 70 81 40 66 124
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 45 105 37 64 87 79 42 57 53 72 42 82 73 25 101 130 71 147 36 30 10 96 60 15 75
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 74 8 62 36 148 135 113 158 73 95 79 63 57 11 88 75 71 74 40 96 119 56 73 48 52
Character -l - l o f w a t e r i n a b a r r e l
Milliseconds 226 75 141 88 66 105 93 103 47 28 99 33 57 29 55 97 81 58 259 106 72 122 86 46 107
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 18 71 49 83 36 53 61 57 79 64 61 96 46 69 122 29 133 15 62 7 111 80 81 49 107
Character h e a m o u n t o f l i q u i d p o u r e
Milliseconds 8 112 30 361 48 61 92 104 25 85 66 41 60 94 7 95 86 76 67 90 80 61 75 36 101
Character d i n t o i t ? W e s e e c h a n g e
Milliseconds 119 42 29 43 63 59 140 132 87 161 65 50 161 83 92 41 129 92 44 55 71 69 44 60 59
Character o c c u r r i n g i n n e a r l y e v e r y
Milliseconds 141 37 115 67 88 122 77 40 44 55 47 27 97 79 23 33 43 107 47 93 32 48 98 26 70
Character t h i n g w e o b s e r v e i n t h e w
Milliseconds 79 56 45 67 41 66 55 34 99 104 88 108 34 36 141 79 103 67 72 80 29 76 43 41 81
Character o r l d a n d u n i v e r s e , a n d p o
Milliseconds 29 42 73 72 51 81 25 79 40 62 118 47 46 58 96 58 31 98 49 76 65 32 58 36 53
Character w e r f u l m o d e r n i n s t r u m e n t s
Milliseconds 29 17 41 110 46 46 91 24 75 26 112 30 57 71 29 61 48 40 116 45 116 75 94 46 78
Character h e l p u s s e e m o r e a n d m o r
Milliseconds 54 49 73 38 62 72 76 103 87 140 73 157 41 38 53 33 38 63 54 61 60 27 53 52 41
Character e . I n t h i s s e c t i o n w e i n t
Milliseconds 28 78 62 127 191 68 88 53 29 58 56 96 34 93 146 48 17 34 90 51 31 100 84 51 41
Character r o d u c e t h e i d e a s o f a v e r a
Milliseconds 111 75 76 78 78 47 123 59 45 58 90 123 92 115 43 83 110 92 94 70 81 87 54 106 52
Character g e a n d i n s t a n t e n -n -e a n e o u s
Milliseconds 70 38 68 90 92 77 42 54 37 74 39 127 112 71 168 266 152 90 114 101 101 89 56 94 75
Character r a t e w o -o - -w s o f c h a n g e , a n
Milliseconds 135 66 92 48 45 70 44 210 82 123 58 68 78 41 78 51 67 24 80 58 46 88 21 111 64
Character d s h o t h a t -h -o - -t -h -a -t - h o w t h
Milliseconds 74 44 86 60 33 119 49 95 17 63 60 367 0 0 0 0 0 0 0 57 32 74 57 46 83
Character a t t h e y a r e c l o s e l y r e l a t
Milliseconds 7 77 59 69 44 70 43 63 40 21 56 47 78 38 110 45 33 68 74 74 19 48 91 68 64
Character e d t o t h e s l o p e o f -f - -o f -
Milliseconds 52 156 116 86 49 100 17 86 21 116 37 44 117 52 133 0 153 309 6 323 94 98 50 104 238
Character -f o f a c u r v e a t a p o i n t P
Milliseconds 71 207 72 53 85 40 68 99 52 131 19 76 81 40 68 98 68 134 38 31 26 36 73 116 150
Character o n t h e c u r v e . W e g i v e p r e
Milliseconds 68 85 69 51 76 32 74 41 72 95 152 22 59 64 95 101 49 117 40 99 20 58 39 93 43
Character c i s e d e v e l o p m e n t s o f t h e s
Milliseconds 115 79 106 37 90 67 127 64 42 53 130 56 80 37 138 80 56 83 50 39 90 73 64 10 112
Character e i m p o r t a n t c o n c e p t s i n t
Milliseconds 24 92 104 75 53 72 50 111 76 63 52 145 162 55 37 90 67 73 90 40 49 60 44 61 112
Character h e n e x t c h a p t e r , b u t f o r
Milliseconds 5 106 12 50 69 124 38 88 123 85 77 65 57 105 40 67 63 59 79 51 69 83 40 78 28
Character n o w w e u s e a n i n f o r m a t l -
Milliseconds 54 50 35 88 61 55 59 67 83 35 76 98 76 155 69 66 115 109 62 89 61 45 48 177 255
Character -l -t l a p p r o a c h s o y o u w i l l
Milliseconds 95 123 144 77 81 35 90 98 73 91 47 60 85 88 62 54 38 64 64 111 73 23 38 96 60
Character s e e h o w t h e y l e a d n a t u r a l
Milliseconds 202 35 136 94 27 65 43 89 78 57 86 42 61 54 45 43 76 73 43 65 61 100 64 40 41
Character l y t o t h e m a i n i d e a o f t h
Milliseconds 118 91 115 49 45 79 55 74 59 59 42 77 62 45 86 33 33 128 15 81 85 54 124 86 69
Character i s c h a t p e r -r -e -p -t p t e r , t h e l
Milliseconds 48 0 123 16 103 57 72 8 130 60 191 70 129 106 159 54 99 35 132 110 67 65 44 45 35
Character i m i t . T h e i d e a o f a l i m i t
Milliseconds 83 56 16 150 80 82 91 71 39 47 64 65 112 44 74 90 61 49 54 91 113 62 55 81 57
Character p l a y s t a -a -t a f o u n d a t i o n a l
Milliseconds 95 66 34 70 64 93 54 98 137 156 71 103 87 62 43 41 114 49 38 84 51 27 29 133 123
Character r o l e t h r o u g h o u t c a l c u l u l
Milliseconds 123 159 49 80 41 75 64 53 69 53 33 96 66 120 76 64 79 85 80 97 147 78 59 81 3
Character s . -. -s -l s .
Milliseconds 65 45 336 80 111 228 110
WPM Timing
Seconds WPM
1.38 69.62
2.76 121.84
4.14 133.45
5.52 137.07
6.89 147.95
8.27 156.66
9.65 155.41
11.03 159.92
12.41 161.49
13.79 161.01
15.17 155.86
16.55 154.48
17.92 156.66
19.3 156.03
20.68 157.24
22.06 155.57
23.44 157.17
24.82 158.59
26.2 159.86
27.58 162.31
28.96 163.7
30.33 164.57
31.71 164.6
33.09 164.63
34.47 163.97
35.85 161.01
37.23 158.59
38.61 158.52
39.99 156.36
41.36 157.53
42.74 156.38
44.12 152.3
45.5 152.96
46.88 153.07
48.26 153.42
49.64 154
51.02 154.07
52.4 154.59
53.77 155.09
55.15 152.74
56.53 153.47
57.91 153.76
59.29 154.23
60.67 154.48
62.05 152.79
63.43 153.25
64.8 152.58
66.18 152.49
67.56 152.57
68.94 150.39