GooGooPug (googoopug)

Race #26

View Pit Stop page for race #26 by googoopug — Ghost race

View profile for GooGooPug (googoopug)

Official speed 111.84 wpm (92.70 seconds elapsed during race)
Without ending ping 112.00 wpm (129 ms delay sending score to TypeRacer’s server)
Timerless 112.44 wpm (366 ms elapsed before first character typed; 92.21 seconds elapsed during race)
Timerless minus one 112.31 wpm, ignoring the first character typed
Race Start October 16, 2024 2:50:39pm UTC
Race Finish October 16, 2024 2:52:12pm UTC
Outcome Win (1 of 5)
Opponents 2. t0rr1n (96.09 wpm)
3. smm2319 (80.25 wpm)
Accuracy 99.0%
Points 301.98
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 functin oon 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 occuring in ring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we intorducrroduce th eideee 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 deelvelopments 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 oaf aof 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 366 144 163 123 129 136 103 81 81 99 76 64 76 44 128 57 123 202 137 105 63 60 61 42 86
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 96 88 96 49 83 101 54 65 122 143 71 120 96 81 65 103 115 76 96 129 83 44 72 56 59
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 125 60 92 48 95 57 77 76 89 38 72 80 72 48 164 19 97 80 115 218 157 115 67 84 46
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 86 104 81 111 52 124 47 157 76 136 15 129 146 13 412 63 102 56 96 88 48 72 65 90 21
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 98 102 72 79 81 120 137 111 137 97 86 496 193 75 85 70 81 89 65 62 56 124 37 113 127
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 136 74 64 61 76 60 56 120 97 273 120 126 121 103 81 59 85 71 81 146 151 100 86 77 63
Character n g e a s a f u n c t i n o -o - -n o n o
Milliseconds 96 49 118 65 87 105 80 77 51 99 69 136 71 146 47 136 81 65 361 133 140 478 79 81 102
Character f t i m e ? H o w d o e s t h e l e v e
Milliseconds 97 71 96 67 69 88 225 112 159 180 92 80 129 111 80 112 97 105 64 55 88 123 43 140 78
Character l o f w a t e r i n a b a r r e l c h
Milliseconds 111 88 112 47 82 79 106 94 90 126 144 104 80 73 57 54 105 143 106 145 113 102 70 88 80
Character a n g e a s a f u n c t i o n o f t h e
Milliseconds 56 113 54 107 94 63 96 97 88 56 112 65 131 64 140 32 130 32 63 63 80 64 99 61 56
Character a m o u n t o f l i q u i d p o u r e d
Milliseconds 56 88 73 95 106 126 32 75 85 72 80 56 96 64 88 92 86 54 72 139 119 110 108 140 32
Character i n t o i t ? W e s e e c h a n g e o c
Milliseconds 80 88 91 53 98 102 99 177 85 225 118 80 115 124 138 90 102 55 88 80 64 80 100 60 79
Character c u r i n g i n - -n -i - -g -n -i r i n g i n
Milliseconds 129 100 100 82 49 95 55 71 56 76 318 153 134 146 133 144 106 94 112 148 282 135 139 80 73
Character n e a r l y e v e r y t h i n g w e o b s e
Milliseconds 90 37 97 39 89 106 68 81 161 96 112 39 145 114 61 109 51 302 130 121 79 115 109 112 100
Character r v e i n t h e w o r l d a n d u n i v
Milliseconds 124 190 102 76 41 87 88 48 88 24 104 64 88 97 80 83 77 63 80 81 71 129 135 89 48
Character e r s e , a n d p o w e r f u l m o d e r n
Milliseconds 130 109 96 263 167 82 33 117 54 64 68 121 63 103 61 189 105 109 73 113 53 93 124 115 101
Character i n s t r u m e n t s h e l p u s s e e
Milliseconds 67 78 75 37 98 133 52 155 57 131 40 58 68 72 124 60 96 73 94 80 83 102 152 136 75
Character m o r e a n d m o r e . I n t h i s s e
Milliseconds 79 88 61 92 92 64 91 77 48 76 93 47 105 80 87 157 68 84 124 63 81 71 109 103 80
Character c t i o n w e i n t o r d u c -c -u -d -r r -r -o r
Milliseconds 184 149 67 78 73 78 24 95 93 83 49 87 136 8 151 83 97 263 134 146 146 118 376 105 77
Character o d u c e t h e i d e -e -d -i -e e -e - e i d e
Milliseconds 112 72 129 59 168 77 79 57 96 9 88 95 153 282 133 144 155 151 353 120 167 221 217 153 135
Character a s o f a v e r a g e a n d i n s t a n t
Milliseconds 95 112 66 70 97 55 64 98 118 98 78 106 70 96 91 95 304 119 153 96 47 147 93 147 148
Character a n e o u s r a t e s o f c h a n g e , a
Milliseconds 203 102 112 164 107 43 87 70 64 100 101 81 68 75 64 79 106 63 64 88 71 74 65 95 30
Character n d s h o w t h a t t h e y a r e c l o
Milliseconds 96 73 73 102 72 43 70 551 136 200 88 57 98 136 38 135 32 72 32 90 87 65 152 66 141
Character s e l y r e l a t e d t o t h e s l o p e
Milliseconds 41 111 39 130 56 49 110 41 98 105 100 164 76 162 47 67 67 89 63 73 92 80 157 113 351
Character o f a c u r v e a t a p o i n t P
Milliseconds 126 140 101 72 55 64 108 69 100 182 496 127 84 123 93 62 85 116 101 98 77 103 86 134 124
Character o n t h e c u r v e . W e g i v e p r e
Milliseconds 49 103 80 33 103 48 90 79 88 91 270 136 135 71 210 112 71 118 78 84 101 75 81 86 90
Character c i s e d e e l -l -e v e l o p m e n t s o f
Milliseconds 176 286 107 102 129 452 139 250 97 461 124 59 140 92 152 113 145 81 93 77 125 78 81 88 96
Character t h e s e i m p o r t a n t c o n c e p t s
Milliseconds 273 119 113 103 91 69 82 65 77 144 72 121 106 92 65 104 96 59 69 55 154 78 105 90 61
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 65 64 87 41 88 81 98 124 60 141 125 119 86 82 85 71 81 79 121 63 89 79 66 119 71
Character f o r n o w w e u s e a n i n f o r m a
Milliseconds 120 65 95 80 121 79 55 98 80 102 120 145 34 69 104 72 80 49 79 65 71 72 98 104 58
Character l a p p r o a c h s o y o u w i l l s e
Milliseconds 85 65 114 69 130 105 108 57 137 82 76 48 92 92 210 87 81 38 75 61 157 123 77 36 152
Character e h o w t h e y l e a d n a t u r a l l y
Milliseconds 146 99 118 69 121 85 110 68 88 75 61 123 77 80 89 63 99 52 97 88 88 89 31 125 114
Character t o t h e m a i n i d e a o f t h i s
Milliseconds 64 104 44 92 48 80 48 50 94 56 72 73 63 64 43 135 87 81 82 61 74 80 38 81 54
Character c h a p t e r , t h e l i m i t . T h e
Milliseconds 88 97 100 117 86 114 70 97 64 56 121 56 104 48 71 96 71 97 80 100 84 193 105 85 99
Character i d e a o a -a -o f a -a - -f o f a l i m i t
Milliseconds 93 92 141 80 88 75 369 400 119 69 97 87 410 142 161 250 77 80 97 81 103 115 68 88 63
Character p l a y s a f o u n d a t i o n a l r o l
Milliseconds 83 95 161 73 103 93 57 83 53 98 37 106 150 41 88 99 96 94 63 64 83 46 87 55 154
Character e t h r o u g h o u t c a l c u l u s .
Milliseconds 63 87 105 72 97 70 65 116 63 61 107 61 96 113 103 96 98 88 95 120 153 128
WPM Timing
Seconds WPM
1.85 97.08
3.71 113.26
5.56 125.13
7.42 126.21
9.27 124.27
11.12 120.81
12.98 122.97
14.83 121.35
16.69 118.66
18.54 113.91
20.39 114.15
22.25 115.42
24.1 117
25.96 119.74
27.81 119.95
29.67 120.14
31.52 113.83
33.37 113.98
35.23 113.09
37.08 114.88
38.94 114.65
40.79 115.91
42.64 116.78
44.5 117.04
46.35 114.43
48.21 112.27
50.06 108.83
51.91 109.1
53.77 108.69
55.62 110.46
57.48 110.03
59.33 110.84
61.18 110.81
63.04 110.22
64.89 110.21
66.75 109.85
68.6 107.93
70.45 108.15
72.31 109.03
74.16 109.54
76.02 110.34
77.87 110.8
79.73 111.08
81.58 112.09
83.43 112.9
85.29 113.26
87.14 111.13
89 110.97
90.85 111.74
92.7 111.84