k (neko_kat)

Race #9

View Pit Stop page for race #9 by neko_kat — Ghost race

View profile for k (neko_kat)

Official speed 113.16 wpm (91.62 seconds elapsed during race)
Without ending ping 112.91 wpm (-205 ms delay sending score to TypeRacer’s server)
Timerless 114.53 wpm (1,303 ms elapsed before first character typed; 90.52 seconds elapsed during race)
Timerless minus one 114.40 wpm, ignoring the first character typed
Race Start November 19, 2023 7:46:57am UTC
Race Finish November 19, 2023 7:48:29am UTC
Outcome Win (1 of 5)
Opponents 2. wlkvr (94.52 wpm)
3. leas_celyn (87.24 wpm)
4. smileyyy___ (78.85 wpm)
Accuracy 98.2%
Points 305.53
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 rto ato a change in another. How does the speed of a falling object change as a fucnnction of time? hHow tdoes the level of water in a barrel change as a function of the amount of liquid pourded into it ?t? wWe see change ocurrcurring in nearly everything we boobserve in the world and universe, and powerful modern instrucmnments 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 realtelated to the slope of a curve at a point P on the curve. We give presccise developments of these important concepts in the next chapter, fbut 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 foundationsal 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 1303 240 72 142 106 327 84 76 116 66 55 91 53 138 38 68 133 149 79 39 80 3 89 66 50
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 63 79 78 65 82 57 60 108 101 172 42 128 61 103 76 38 147 56 77 66 57 31 79 43 143
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 102 64 76 83 56 60 106 24 73 84 250 69 60 93 228 50 281 102 204 112 56 107 110 79 59
Character r e l a t e d r t o a -a - -o -t -r t o a c
Milliseconds 71 89 63 80 66 58 45 163 53 45 18 42 81 46 367 141 137 156 117 96 82 72 51 155 45
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 63 44 103 42 56 73 97 64 81 60 118 79 55 71 57 48 173 120 162 144 49 101 84 57 67
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 49 61 93 49 95 86 163 86 63 103 160 80 98 30 90 60 114 67 68 107 137 39 62 42 70
Character o b j e c t c h a n g e a s a f u c n -n -c
Milliseconds 35 113 67 72 125 123 105 104 68 68 78 71 56 96 43 63 107 58 142 16 92 102 240 202 112
Character n c t i o n o f t i m e ? h -h H o w t -t d
Milliseconds 149 42 115 73 49 39 91 75 53 249 2 2 99 112 157 78 113 302 167 148 46 66 222 392 71
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 91 69 54 68 55 61 76 97 43 56 115 87 67 88 94 41 89 225 68 67 103 62 99 32 76
Character a b a r r e l c h a n g e a s a f u n
Milliseconds 133 81 125 57 103 93 118 52 97 111 161 32 62 94 64 52 102 62 75 82 55 136 31 411 153
Character c t i o n o f t h e a m o u n t o f l i
Milliseconds 30 108 85 59 44 81 125 87 57 246 41 87 81 59 96 76 96 135 69 90 45 76 96 20 79
Character q u i d p o u r d -d e d i n t o i t - -t ?
Milliseconds 107 147 78 113 83 162 70 92 68 148 244 60 121 84 31 48 134 64 109 68 75 269 381 112 223
Character -? t ? w -w W e s e e c h a n g e o c u r r
Milliseconds 386 211 308 112 158 283 98 426 90 44 84 127 76 164 41 78 73 52 59 109 79 86 172 74 96
Character -r -r -u c u r r i n g i n n e a r l y e v e r
Milliseconds 505 157 126 160 118 89 90 87 50 79 103 505 60 87 85 48 51 65 92 65 70 44 125 120 41
Character y t h i n g w e b o -o -b o b s e r v e i n
Milliseconds 74 76 113 70 79 47 91 61 89 71 353 98 293 113 158 48 149 73 46 140 94 128 29 65 79
Character t h e w o r l d a n d u n i v e r s e , a
Milliseconds 41 59 42 84 43 68 63 119 78 73 41 88 80 54 94 150 60 51 133 45 84 84 164 69 39
Character n d p o w e r f u l m o d e r n i n s t r u
Milliseconds 84 69 71 316 80 30 29 45 133 72 72 87 89 71 60 132 55 65 109 63 73 180 6 112 105
Character c m n -n -m -c m e n t s h e l p u s s e e m
Milliseconds 81 110 181 246 135 251 196 60 108 45 56 118 67 119 38 73 160 56 65 96 127 84 149 84 32
Character o r e a n d m o r e . I n t h i s s e c
Milliseconds 76 52 42 87 14 105 62 62 84 74 54 41 170 66 146 167 102 82 41 68 57 72 155 66 175
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 93 62 57 37 112 36 63 99 105 86 100 108 66 110 71 90 148 80 44 82 64 86 59 71 119
Character a s o f a v e r a g e a n d i n s t a n t
Milliseconds 37 123 111 61 82 89 37 134 130 63 61 93 59 88 62 93 76 61 50 68 56 109 100 302 233
Character a n e o u s r a t e s o f c h a n g e , a
Milliseconds 69 348 235 142 68 119 250 368 59 111 45 67 44 93 64 87 119 70 141 35 442 48 161 112 47
Character n d s h o w t h a t t h e y a r e c l o
Milliseconds 84 66 66 71 65 54 68 84 49 90 35 59 80 118 49 87 68 76 27 57 60 84 146 24 141
Character s e l y r e a l t e -e -t -l -a l a t e d t o t
Milliseconds 56 42 97 70 61 52 48 77 68 81 44 326 161 132 136 237 38 65 37 135 66 70 32 128 48
Character h e s l o p e o f a c u r v e a t a
Milliseconds 85 78 83 509 61 157 57 88 67 72 58 100 18 123 73 106 48 158 66 76 122 245 85 25 154
Character p o i n t P o n t h e c u r v e . W e
Milliseconds 30 52 64 48 44 98 99 122 90 60 117 82 181 90 79 187 158 65 176 75 132 68 634 174 105
Character g i v e p r e s c -c -s c i s e d e v e l o p m
Milliseconds 34 119 53 74 82 144 59 50 134 201 195 123 66 132 81 43 92 634 143 110 68 80 142 51 141
Character e n t s o f t h e s e i m p o r t a n t c
Milliseconds 76 86 65 75 105 95 84 81 71 96 73 83 113 87 55 64 90 68 52 114 78 67 74 90 142
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 44 51 74 143 102 52 87 96 127 65 72 58 68 44 90 134 55 149 141 118 124 64 99 92 51
Character e r , f -f b u t f o r n o w w e u s e
Milliseconds 96 50 143 511 39 356 106 62 93 73 89 28 96 79 41 63 30 91 306 74 100 106 91 49 95
Character a n i n f o r m a l a p p r o a c h s o y
Milliseconds 62 55 110 59 63 69 100 66 103 57 139 78 61 85 137 55 112 67 162 49 340 43 96 119 72
Character o u w i l l s e e h o w t h e y l e a d
Milliseconds 56 81 58 17 250 2 22 40 32 72 138 80 39 64 44 91 273 60 63 95 79 76 94 46 135
Character n a t u r a l l y t o t h e m a i n i d
Milliseconds 79 43 53 89 114 38 106 117 122 50 85 116 98 97 45 36 77 91 16 110 64 61 87 93 82
Character e a o f t h i s c h a p t e r , t h e l
Milliseconds 124 36 130 74 64 82 61 44 77 52 70 154 63 117 54 101 90 55 113 74 94 56 92 83 147
Character i m i t . T h e i d e a o f a l i m i t
Milliseconds 70 49 116 109 163 90 133 109 83 71 81 54 113 53 114 40 85 81 35 165 66 56 69 130 39
Character p l a y s a f o u n d a t i o n s -s a l r
Milliseconds 278 109 27 109 97 76 108 18 168 15 73 48 147 45 57 92 61 42 40 105 410 63 126 127 186
Character o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 143 167 55 80 182 99 490 86 69 50 131 76 85 51 92 144 61 74 184 73 109 167 95 178
WPM Timing
Seconds WPM
1.83 26.19
3.66 81.86
5.5 104.78
7.33 108.05
9.16 110.02
10.99 104.78
12.83 109.46
14.66 112.96
16.49 117.15
18.32 114.6
20.16 108.95
21.99 112.42
23.82 114.85
25.65 114.13
27.49 115.69
29.32 112.55
31.15 107.09
32.98 106.96
34.82 104.09
36.65 105.11
38.48 103.53
40.31 106.27
42.15 107.34
43.98 105.6
45.81 106.61
47.64 108.3
49.48 109.39
51.31 110.62
53.14 109.75
54.97 109.36
56.81 110.48
58.64 110.1
60.47 109.54
62.3 110.17
64.14 110.58
65.97 109.87
67.8 108.32
69.63 108.91
71.47 109.82
73.3 110.02
75.13 109.57
76.96 110.39
78.8 110.87
80.63 111.48
82.46 112.35
84.29 113.03
86.13 113.56
87.96 114.05
89.79 113.06
91.62 112.9