Ryan Smith (chickenhelmet)

Race #38979

View Pit Stop page for race #38979 by chickenhelmet — Ghost race

View profile for Ryan Smith (chickenhelmet)

Official speed 116.71 wpm (88.84 seconds elapsed during race)
Without ending ping 116.96 wpm (188 ms delay sending score to TypeRacer’s server)
Timerless 118.92 wpm (1,467 ms elapsed before first character typed; 87.18 seconds elapsed during race)
Timerless minus one 118.79 wpm, ignoring the first character typed
Race Start March 12, 2024 11:22:24am UTC
Race Finish March 12, 2024 11:23:53am UTC
Outcome Win (1 of 5)
Opponents 2. carvedseven (90.97 wpm)
Accuracy 99.5%
Points 315.12
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 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 occuriring 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 avaerage and instantanieous 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 neit xt 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.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 1467 270 82 224 165 140 184 136 73 150 59 88 99 77 62 92 148 37 74 68 72 67 72 97 67
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 92 85 117 102 183 118 113 74 159 93 70 48 110 144 64 103 48 64 94 78 89 46 113 92 74
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 51 56 106 45 64 71 77 109 41 75 111 47 82 110 117 193 108 51 48 106 101 139 120 128 57
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 90 92 71 156 93 54 187 138 115 140 97 88 156 82 199 36 132 49 91 112 98 134 124 210 369
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 40 124 21 74 61 75 121 68 136 164 21 120 68 42 78 61 75 47 51 84 52 70 110 123 146
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 39 87 77 115 107 80 96 19 165 117 134 75 116 47 92 49 137 75 184 28 155 101 89 49 92
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 62 50 73 164 208 71 96 44 116 45 98 88 178 142 37 103 53 93 87 52 101 40 116 47 115
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 274 168 156 176 62 89 70 74 48 94 85 33 74 63 70 110 46 151 88 94 91 99 33 77 87
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 99 73 106 60 85 71 64 82 274 114 101 113 244 167 72 111 92 70 68 75 70 64 51 66 126
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 36 76 94 86 59 132 42 145 158 35 131 28 89 77 56 77 69 72 43 66 235 112 93 33 66
Character t o f l i q u i d p o u r e d i n t o i
Milliseconds 51 95 41 117 69 117 72 186 205 164 71 93 113 232 26 109 121 145 81 74 73 48 72 88 97
Character t ? W e s e e c h a n g e o c c u r i -i r
Milliseconds 45 278 185 87 144 75 89 95 136 41 34 88 65 99 63 52 118 116 95 151 118 52 179 311 93
Character i n g i n n e a r l y e v e r y t h i n g
Milliseconds 109 104 72 69 70 88 69 148 105 119 91 184 76 65 139 46 111 71 81 87 69 69 64 80 94
Character w e o b s e r v e i n t h e w o r l d a
Milliseconds 66 86 98 232 78 270 306 119 177 91 81 103 51 71 92 70 46 74 62 98 93 122 45 90 45
Character n d u n i v e r s e , a n d p o w e r f u l
Milliseconds 98 47 82 83 61 111 95 100 93 121 86 110 81 134 47 63 76 110 99 54 107 71 117 93 74
Character m o d e r n i n s t r u m e n t s h e l p
Milliseconds 90 114 116 72 91 72 144 88 63 83 388 69 162 110 145 112 75 46 163 115 70 93 72 111 73
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 111 61 80 115 57 139 65 46 94 78 42 67 110 29 63 61 89 74 62 87 172 0 207 161 112
Character t h i s s e c t i o n w e i n t r o d u c e
Milliseconds 51 71 55 67 89 39 106 110 186 53 110 86 104 64 119 99 219 53 86 311 97 104 99 93 92
Character t h e i d e a s o f a v a -a e r a g e a
Milliseconds 302 97 72 45 113 70 74 112 68 48 94 94 40 74 101 66 137 395 110 214 139 97 97 114 111
Character n d i n s t a n t a n i -i e o u s r a t e s
Milliseconds 48 52 69 89 64 186 99 184 73 139 258 133 142 277 116 167 60 69 117 124 94 74 42 86 98
Character o f c h a n g e , a n d s h o w t h a t
Milliseconds 87 82 87 70 72 74 63 69 77 81 102 115 40 51 74 107 51 66 50 119 69 45 72 63 77
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 73 60 77 73 65 117 45 97 62 139 167 121 88 94 134 99 87 92 84 127 104 68 91 102 62
Character t o t h e s l o p e o f a c u r v e a
Milliseconds 72 87 69 48 64 82 64 180 193 47 342 161 168 102 88 85 75 125 81 127 58 215 94 96 113
Character t a p o i n t P o n t h e c u r v e .
Milliseconds 70 94 110 93 103 131 99 70 45 67 240 189 113 138 52 103 75 47 64 100 119 43 205 101 324
Character W e g i v e p r e c i s e d e v e l o p m
Milliseconds 68 209 124 65 62 76 93 70 94 135 104 106 57 135 138 116 99 60 76 92 76 140 342 115 112
Character e n t s o f t h e s e i m p o r t a n t c
Milliseconds 128 104 53 185 74 116 134 88 52 87 47 93 74 78 139 46 126 140 312 174 145 42 74 121 159
Character o n c e p t s i n t h e n e i t - -t -i x t
Milliseconds 85 98 67 75 249 85 177 75 128 123 109 28 94 186 139 87 83 265 0 80 251 179 190 54 126
Character c h a p t e r , b u t f o r n o w w e
Milliseconds 118 163 19 100 353 134 115 112 107 108 87 116 45 101 71 91 24 99 90 61 77 114 74 61 106
Character u s e a n i n f o r m a l a p p r o a c h
Milliseconds 90 64 99 67 168 38 69 112 36 131 94 69 116 116 111 99 139 187 138 136 111 108 112 44 122
Character s o y o u w i l l s e e h o w t h e y
Milliseconds 195 78 77 91 105 99 69 25 116 69 116 89 127 33 141 52 93 94 75 138 88 29 81 100 47
Character l e a d n a t u r a l l y t o t h e m a i
Milliseconds 72 85 101 20 78 86 92 42 126 71 114 74 122 103 73 70 112 89 53 91 88 69 77 73 66
Character n i d e a o f t h i s c h a p t e r , t
Milliseconds 68 77 112 77 108 71 40 168 22 118 46 94 70 74 66 69 74 87 97 97 109 99 110 124 104
Character h e l i m i t . T h e i d e a o f a l
Milliseconds 51 64 80 65 70 71 89 72 123 105 164 74 64 139 53 139 47 120 84 140 46 75 69 94 69
Character i m i t p l a y s a f o u n d a t i o n a l
Milliseconds 46 94 70 88 121 74 65 111 31 86 105 64 123 42 208 59 86 40 86 102 70 66 72 642 51
Character r o l e t h r o u g h o u t c a l c u l u s
Milliseconds 144 182 49 108 90 55 47 77 82 69 47 76 139 99 65 86 119 97 162 49 142 110 118 162 275
Character .
Milliseconds 44
WPM Timing
Seconds WPM
1.78 13.51
3.55 60.79
5.33 83.3
7.11 99.62
8.88 104.01
10.66 104.69
12.44 104.21
14.21 108.91
15.99 111.07
17.77 112.79
19.54 112.98
21.32 115.94
23.1 115.34
24.87 117.71
26.65 117.52
28.43 116.93
30.2 117.6
31.98 115.94
33.76 116.6
35.53 116.17
37.31 117.39
39.09 117.58
40.86 117.17
42.64 118.48
44.42 118.6
46.19 117.94
47.97 116.82
49.75 116.51
51.52 115.75
53.3 117.52
55.08 117.65
56.85 117.35
58.63 117.27
60.41 117.4
62.18 116.75
63.96 116.32
65.74 116.28
67.52 115.89
69.29 114.47
71.07 113.81
72.85 114.49
74.62 114.5
76.4 114.66
78.18 115.43
79.95 116.17
81.73 116.73
83.51 117.12
85.28 117.63
87.06 117.16
88.84 116.71