jackmaoff (jackmaoff)

Race #8049

View Pit Stop page for race #8049 by jackmaoff — Ghost race

View profile for jackmaoff (jackmaoff)

Official speed 91.73 wpm (113.03 seconds elapsed during race)
Without ending ping 92.45 wpm (874 ms delay sending score to TypeRacer’s server)
Timerless 92.59 wpm (177 ms elapsed before first character typed; 111.98 seconds elapsed during race)
Timerless minus one 92.48 wpm, ignoring the first character typed
Race Start March 3, 2024 10:32:17am UTC
Race Finish March 3, 2024 10:34:10am UTC
Outcome No win (3 of 3)
Opponents 1. hassansajjad (98.26 wpm)
2. chanakya75e (96.09 wpm)
Accuracy 96.9%
Points 247.68
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 heps ulps us undreerstand how a change in one quantity is related to a change in another. How dies oes the speed of a falling objetc tt change as a function of time? How does the level of water in a batrrrel change as afunc function of the amount of liquid poured into it?Q We see change occuring ring in eanear ly everyiththing we obsevrve in the world and universe, and powerful modren ern instruments help us see more and more. In this section we introduce the ideas of saverage and instantaneous ratstes of change, and show that they are closely related to the slpope of a curve a t a point P on the curve. We give precise developmetns nts of these important concepts in he the nexxt ch tt t chapetter, but for now we use an informal approach so you will see who who thow they lead naturally to the main idea of this chapter, the limit. The nidea of a limit oplay a s a foundational role throughtoout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 177 195 89 112 118 147 404 113 69 81 85 89 48 130 105 58 104 156 228 60 88 35 95 48 132
Character e p s u -u - -s -p l p s u s u n d r e -e -r e r
Milliseconds 109 154 124 100 75 224 128 129 122 156 136 129 73 91 118 110 164 94 75 184 16 362 113 30 61
Character s t a n d h o w a c h a n g e i n o n e
Milliseconds 120 144 58 104 51 85 80 69 69 71 103 95 304 127 96 101 79 54 85 64 76 88 99 80 89
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 80 249 100 115 93 131 78 110 133 85 129 121 75 183 98 200 106 84 68 179 59 110 64 76 68
Character c h a n g e i n a n o t h e r . H o w d
Milliseconds 98 133 68 100 100 88 47 133 233 101 105 63 125 79 58 102 38 81 89 105 123 135 16 159 128
Character i e s - -s -e -i o e s t h e s p e e d o f
Milliseconds 95 71 62 77 263 129 145 133 183 70 86 43 86 98 26 74 75 134 44 145 95 104 119 99 36
Character a f a l l i n g o b j e t -t c t -t - t c h
Milliseconds 86 47 205 125 53 110 134 61 69 40 110 133 160 76 267 308 111 122 50 312 141 108 50 180 85
Character a n g e a s a f u n c t i o n o f t i m
Milliseconds 59 110 50 50 109 49 125 100 149 74 29 171 118 84 245 14 34 114 121 119 59 50 139 91 100
Character e ? H o w d o e s t h e l e v e l o f
Milliseconds 13 338 125 178 149 91 79 130 56 102 70 65 253 55 99 63 82 68 92 98 34 125 130 64 90
Character w a t e r i n a b a t r -r -t r r e l c h a
Milliseconds 73 129 76 105 99 26 108 86 68 70 71 108 80 75 155 218 135 58 169 167 92 114 139 46 125
Character n g e a s a f u n c -c -n -u -f f u n c t i o n
Milliseconds 70 78 30 78 50 96 85 113 15 161 82 85 219 120 139 138 64 75 130 91 78 159 34 26 73
Character o f t h e a m o u n t o f l i q u i d
Milliseconds 96 113 43 82 100 49 52 71 77 90 69 80 140 78 31 100 87 71 84 106 109 129 149 170 97
Character p o u r e d i n t o i t ? Q - -Q W e s e
Milliseconds 275 95 412 143 161 154 50 74 58 105 45 111 173 60 273 163 211 303 125 94 64 190 173 138 69
Character e c h a n g e o c c u r i n g - -g -n -i r i n
Milliseconds 91 130 438 139 130 477 74 104 81 178 120 127 101 93 96 64 96 96 256 119 145 119 79 119 35
Character g i n e a -a -e n e a r - l y e v e r y i t
Milliseconds 94 76 63 76 39 533 78 250 286 151 64 105 49 202 276 179 161 111 31 114 80 80 47 173 44
Character h -h -t -i t h i n g w e o b s e v -v r v e i n
Milliseconds 21 283 122 126 92 71 69 106 68 27 75 109 79 139 194 144 59 274 304 129 164 106 78 54 84
Character t h e w o r l d a n d u n i v e r s e ,
Milliseconds 71 45 83 17 74 89 70 99 74 87 14 98 60 115 55 40 124 110 108 478 61 148 119 105 101
Character a n d p o w e r f u l m o d r e n - -n -e -r e
Milliseconds 66 61 86 54 397 101 0 52 71 190 38 136 106 86 90 70 109 75 65 99 254 135 124 145 43
Character r n i n s t r u m e n t s h e l p u s s e
Milliseconds 69 120 130 95 80 58 90 164 75 408 89 109 16 83 99 181 52 126 175 123 156 163 217 181 102
Character e m o r e a n d m o r e . I n t h i s
Milliseconds 116 120 79 120 46 147 95 71 88 100 49 105 64 94 28 117 70 131 78 89 76 62 71 75 79
Character s e c t i o n w e i n t r o d u c e t h e
Milliseconds 130 76 156 188 23 52 64 121 42 106 554 116 46 141 144 70 136 128 105 125 42 93 52 50 79
Character i d e a s o f s -s a v e r a g e a n d i n
Milliseconds 120 59 195 59 146 97 149 102 70 172 299 59 84 121 90 113 133 100 74 136 44 134 100 44 116
Character s t a n t a n e o u s r a t s t -t -s e s o f
Milliseconds 115 73 128 134 117 370 315 128 229 132 70 57 98 97 115 149 20 352 165 139 90 39 220 78 40
Character c h a n g e , a n d s h o w t h a t t h e
Milliseconds 142 77 80 100 18 101 89 11 118 89 50 68 212 64 46 64 94 64 73 35 97 22 112 40 144
Character y a r e c l o s e l y r e l a t e d t o
Milliseconds 59 71 43 80 63 72 129 89 146 104 43 115 180 77 89 62 93 106 77 100 410 119 119 42 127
Character t h e s l p -p o p e o f a c u r v e a
Milliseconds 24 50 49 75 99 40 181 422 174 134 104 64 85 49 112 38 85 120 115 118 179 93 71 49 149
Character - t a p o i n t P o n t h e c u r v e
Milliseconds 414 67 52 74 105 75 48 99 148 138 34 274 138 110 86 84 46 78 29 69 100 90 85 172 65
Character . W e g i v e p r e c i s e d e v e l o p
Milliseconds 101 119 218 190 90 148 55 100 80 141 113 53 557 159 116 100 88 55 164 119 96 94 84 118 150
Character m e t n s - -s -n -t n t s o f t h e s e i m
Milliseconds 140 70 147 0 125 99 214 145 114 135 149 25 105 79 84 76 52 136 60 26 113 89 99 135 85
Character p o r t a n t c o n c e p t s i n h e - -e
Milliseconds 144 43 79 152 79 59 100 54 220 64 99 80 53 126 69 100 90 69 89 50 151 52 71 343 119
Character -h t h e n e x x t c h -h -c - -t - -x t -t t
Milliseconds 119 81 138 35 24 130 54 166 113 38 36 211 79 238 124 134 140 119 209 145 124 234 133 81 94
Character - -t - t c h a p e t -t -e t e r , b u t f o r
Milliseconds 153 145 164 179 318 74 95 84 116 87 183 187 131 63 105 57 54 118 69 112 0 70 126 54 135
Character n o w w e u s e a n i n f o r m a l a
Milliseconds 29 75 93 35 107 109 54 136 68 90 54 76 139 88 100 93 75 80 110 75 108 91 163 141 138
Character p p r o a c h s o y o u w i l l s e e w
Milliseconds 118 115 90 175 124 174 109 121 78 90 64 176 118 54 65 44 59 137 127 58 83 87 151 160 121
Character h o - -o -h -w w h o t -t - -o -h -w h o w t h e y
Milliseconds 117 85 232 280 124 144 104 103 92 53 85 160 238 123 130 130 113 172 63 62 101 127 123 62 103
Character l e a d n a t u r a l l y t o t h e m a
Milliseconds 94 148 69 83 97 86 162 113 83 85 92 75 47 123 118 92 88 48 122 78 100 70 67 56 125
Character i n i d e a o f t h i s c h a p t e r ,
Milliseconds 98 161 150 143 119 149 74 141 134 69 42 109 25 97 49 53 152 84 53 117 227 149 71 79 81
Character t h e l i m i t . T h e n -n i d e a o f
Milliseconds 109 54 86 62 48 119 76 142 83 156 130 128 93 70 86 159 238 140 65 133 91 149 144 73 55
Character a l i m i t o -o p l a y a - -a - s a f
Milliseconds 68 90 86 50 125 115 120 43 163 363 303 82 66 133 58 76 123 318 130 124 70 53 121 120 113
Character o u n d a t i o n a l r o l e t h r o u g h t
Milliseconds 127 71 116 23 90 102 39 29 62 157 124 121 108 58 152 98 71 103 58 116 44 85 80 127 142
Character o -o -t o u t c a l c u l u s .
Milliseconds 136 286 134 167 50 71 70 142 126 64 137 103 150 195 117 120
WPM Timing
Seconds WPM
2.26 90.24
4.52 74.32
6.78 81.4
9.04 88.92
11.3 93.43
13.56 98.21
15.82 94.79
18.08 95.55
20.34 94.37
22.61 95.02
24.87 98.45
27.13 98.21
29.39 97.19
31.65 99.34
33.91 98.03
36.17 95.22
38.43 92.74
40.69 91.13
42.95 89.41
45.21 89.45
47.47 91
49.73 90.97
51.99 90.71
54.25 91.13
56.51 93
58.77 93.1
61.03 93.19
63.3 92.9
65.56 92.99
67.82 94.49
70.08 94.7
72.34 94.39
74.6 95.23
76.86 94.77
79.12 94.04
81.38 94.96
83.64 94.83
85.9 92.48
88.16 91.33
90.42 92.63
92.68 92.83
94.94 92.14
97.2 91.11
99.46 92.05
101.72 92.37
103.99 92.67
106.25 92.5
108.51 92.46
110.77 92.19
113.03 91.73