Poptart (pojooo)

Race #16

View Pit Stop page for race #16 by pojooo — Ghost race

View profile for Poptart (pojooo)

Official speed 92.51 wpm (112.07 seconds elapsed during race)
Without ending ping 92.76 wpm (296 ms delay sending score to TypeRacer’s server)
Timerless 93.01 wpm (301 ms elapsed before first character typed; 111.48 seconds elapsed during race)
Timerless minus one 92.90 wpm, ignoring the first character typed
Race Start June 14, 2023 11:32:02pm UTC
Race Finish June 14, 2023 11:33:54pm UTC
Outcome No win (3 of 4)
Opponents 2. mentosbrentos (93.43 wpm)
Accuracy 97.4%
Points 249.77
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 CAlcalculus is a tool that helps us understand how a change in one quanittytity is related to a achange in another. How does the speed of a sfalling object change as a fucnnction of time? How does the lveevel of water in a braarrel change as a function of the amount of liquid poured into it? We see thcchange occuring inring in rnnearly everything we observe in the world and universe, and powwerful modern uinstruments help us see more and more. In this section we introduce the ideas of average and instantanesouous rates of change, and show that they are closely related to the slope of a curve at a point P ont eh the curve. We give precise developments of these improtaortant concepts in the next chapter, but for now ewe use an informal appprroach so you will se how e how they lead naturealally 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 -c -l -A a l c u l u s i s a t o o l
Milliseconds 301 108 134 157 265 137 134 84 118 130 121 206 160 98 79 132 93 83 88 73 130 45 127 150 143
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 56 78 83 121 52 138 88 127 94 102 93 91 61 112 153 79 58 83 135 149 152 122 74 102 58
Character h o w a c h a n g e i n o n e q u a n i
Milliseconds 122 116 48 113 98 60 125 65 110 78 107 109 67 118 67 153 116 90 91 80 109 68 99 106 109
Character t t y -y -t -t -i t i t y i s r e l a t e d t o
Milliseconds 65 153 68 197 130 143 105 97 86 92 101 133 139 100 73 94 124 90 86 143 140 133 46 110 59
Character a a -a c h a n g e i n a n o t h e r . H
Milliseconds 124 85 87 134 341 107 45 146 84 96 82 64 127 68 140 56 94 95 21 119 82 147 92 132 268
Character o w d o e s t h e s p e e d o f a s -s
Milliseconds 124 73 79 112 64 64 147 63 102 50 111 37 121 61 102 124 112 92 123 70 99 104 72 118 221
Character f a l l i n g o b j e c t c h a n g e a s
Milliseconds 74 73 75 144 145 89 101 58 120 116 136 67 123 138 92 99 73 76 97 51 88 128 55 83 102
Character a f u c n -n -c n c t i o n o f t i m e ? H
Milliseconds 87 87 121 106 86 112 185 123 149 82 144 65 52 150 132 108 62 87 56 67 96 75 589 229 197
Character o w d o e s t h e l v e -e -v e v e l o f
Milliseconds 131 67 112 75 90 19 149 88 79 70 85 61 148 66 90 236 128 140 136 86 96 151 110 88 75
Character w a t e r i n a b r a -a -r a r r e l c h a
Milliseconds 127 137 144 142 108 54 119 71 163 12 129 150 53 138 145 116 94 105 250 178 63 148 75 107 82
Character n g e a s a f u n c t i o n o f t h e
Milliseconds 4107 101 90 101 96 73 102 85 74 159 38 193 87 132 43 67 130 146 115 47 94 42 84 62 80
Character a m o u n t o f l i q u i d p o u r e d i
Milliseconds 95 64 126 72 141 83 75 112 51 91 126 124 97 73 122 118 103 163 137 131 77 153 123 67 98
Character n t o i t ? W e s e e t -t h c -c -h c h a n
Milliseconds 70 77 83 129 156 111 176 196 178 137 72 83 135 111 65 79 221 137 64 210 114 95 74 107 150
Character g e o c c u r i n g i n -n -i - -g -n -i r i n g
Milliseconds 86 87 114 132 97 140 66 94 81 94 74 77 110 88 165 129 135 130 150 123 94 81 94 96 76
Character i n r n -n -r n e a r l y e v e r y t h i n g
Milliseconds 89 82 139 77 97 210 111 136 68 95 110 80 111 66 121 129 90 132 77 114 73 115 104 114 65
Character w e o b s e r v e i n t h e w o r l d a
Milliseconds 84 126 70 123 114 93 148 137 151 134 107 131 65 152 40 102 65 93 63 94 95 63 97 110 51
Character n d u n i v e r s e , a n d p o w w -w e r f
Milliseconds 95 92 75 99 96 119 48 110 149 145 130 44 143 82 77 98 56 112 94 55 96 328 223 169 173
Character u l m o d e r n u -u i n s t r u m e n t s h
Milliseconds 99 169 146 130 10 90 180 164 84 166 178 271 194 134 253 152 134 39 162 88 90 56 155 77 505
Character e l p u s s e e m o r e a n d m o r e .
Milliseconds 144 114 98 162 106 71 85 91 155 115 37 168 58 86 80 126 92 96 66 101 146 95 92 60 74
Character I n t h i s s e c t i o n w e i n t r o
Milliseconds 152 175 170 153 71 95 94 90 107 91 204 117 150 59 39 144 131 68 107 90 115 104 134 140 79
Character d u c e t h e i d e a s o f a v e r a g e
Milliseconds 116 100 104 94 135 92 81 89 73 117 45 157 78 82 90 118 74 90 120 117 117 131 133 92 129
Character a n d i n s t a n t a n e s o u -u -o -s o u s
Milliseconds 78 192 52 112 101 112 100 115 162 140 71 145 205 143 130 151 58 47 285 120 354 152 99 88 120
Character r a t e s o f c h a n g e , a n d s h o w
Milliseconds 42 148 120 138 129 58 122 47 79 101 70 46 125 70 112 77 145 57 105 38 137 86 60 114 64
Character t h a t t h e y a r e c l o s e l y r e
Milliseconds 110 57 70 74 142 94 86 78 95 74 130 62 114 128 51 134 97 108 15 161 107 81 96 113 142
Character l a t e d t o t h e s l o p e o f a c
Milliseconds 97 108 134 141 116 75 99 67 139 37 126 87 89 114 88 153 135 114 90 144 90 82 41 119 56
Character u r v e a t a p o i n t P o n t e h
Milliseconds 105 93 101 115 72 148 140 79 162 115 188 164 159 104 122 78 853 285 165 120 128 51 147 28 153
Character - -h -e - -t t h e c u r v e . W e g i v e
Milliseconds 191 129 129 127 165 211 120 85 101 70 79 75 92 102 116 134 165 306 162 82 110 63 121 89 103
Character p r e c i s e d e v e l o p m e n t s o f t
Milliseconds 133 46 129 97 97 73 145 95 110 155 133 104 101 148 124 136 88 115 54 177 73 123 68 103 40
Character h e s e i m p r o t a -a -t -o -r o r t a n t c o
Milliseconds 82 85 141 132 91 131 98 124 136 25 125 151 218 135 133 121 163 51 143 131 64 103 83 88 51
Character n c e p t s i n t h e n e x t c h a p t e
Milliseconds 118 98 119 87 97 155 43 125 72 153 72 72 100 63 140 61 151 157 74 88 82 71 125 84 162
Character r , b u t f o r n o w e -e w e u s e a
Milliseconds 106 59 150 119 92 83 99 98 96 38 128 152 123 102 94 70 285 74 151 72 117 75 139 89 95
Character n i n f o r m a l a p p p r -r -p r o a c h s
Milliseconds 120 174 140 99 89 106 84 90 94 78 152 151 144 10 153 333 165 143 142 88 116 116 43 199 53
Character o y o u w i l l s e h o w - -w -o -h - e
Milliseconds 90 154 206 46 56 167 78 72 159 115 137 46 122 55 148 122 88 95 233 612 167 137 150 182 195
Character h o w t h e y l e a d n a t u r e a l -l -a -e
Milliseconds 205 142 103 95 77 75 79 91 134 152 36 97 69 81 124 75 129 66 83 143 62 100 281 141 131
Character a l l y t o t h e m a i n i d e a o f
Milliseconds 110 127 132 72 84 115 33 123 107 39 128 20 159 119 86 121 195 124 53 90 114 107 124 69 94
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 64 97 93 112 75 91 79 70 112 80 139 100 51 159 239 87 106 89 144 131 108 102 116 83 145
Character T h e i d e a o f a l i m i t p l a y s
Milliseconds 166 125 61 115 94 22 143 72 115 138 63 113 76 82 136 141 65 145 99 120 163 59 76 137 72
Character a f o u n d a t i o n a l r o l e t h r o
Milliseconds 157 10 64 430 124 75 171 48 94 141 46 78 137 96 113 151 73 102 142 69 103 41 115 55 90
Character u g h o u t c a l c u l u s .
Milliseconds 69 68 86 165 66 83 109 82 81 105 135 89 261 173 130 84
WPM Timing
Seconds WPM
2.24 48.18
4.48 85.66
6.72 96.36
8.97 91.01
11.21 95.29
13.45 95.47
15.69 99.42
17.93 99.71
20.17 99.34
22.41 98.51
24.66 97.34
26.9 96.36
29.14 90.6
31.38 84.13
33.62 87.09
35.86 89
38.11 89.75
40.35 88.33
42.59 85.94
44.83 87.26
47.07 88.72
49.31 89.55
51.55 88.68
53.8 87.89
56.04 89.08
58.28 89.78
60.52 91.01
62.76 91.39
65 90.09
67.24 91.37
69.49 92.57
71.73 93.19
73.97 93.61
76.21 91.8
78.45 91.01
80.69 91.61
82.94 92.02
85.18 91.43
87.42 92.11
89.66 92.35
91.9 92.32
94.14 92.16
96.38 90.51
98.63 91.01
100.87 90.65
103.11 91.24
105.35 91.58
107.59 92.13
109.83 92.32
112.07 92.51