(jasimk)

Race #46055

View Pit Stop page for race #46055 by jasimk — Ghost race

View profile for (jasimk)

Official speed 125.10 wpm (82.88 seconds elapsed during race)
Without ending ping 125.59 wpm (321 ms delay sending score to TypeRacer’s server)
Timerless 125.65 wpm (42 ms elapsed before first character typed; 82.52 seconds elapsed during race)
Timerless minus one 125.50 wpm, ignoring the first character typed
Race Start October 22, 2023 3:34:39am UTC
Race Finish October 22, 2023 3:36:01am UTC
Outcome Win (1 of 4)
Opponents 2. rilee_h443 (110.17 wpm)
3. chillzyycancode (106.85 wpm)
4. deanna93 (94.96 wpm)
Accuracy 98.1%
Points 337.76
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 Calculu s is a tool that helpes us ueps uelps us understand how a change in one quantity is reallated to a change in another. How does the speed of a falling object change s aas a function of time? How does the level of water in a barrel thchange as a function of the amount of liquid poured into it? We see change cooccuring in ccurring in nearly everythignng we observe in the world and universe, and powerful modern instru entsnstruments help us see more and more. In this section e we introduce the ideas of saaverage and instantaneous rates of change, and show that they are closely related to the slope of a curve at a poitn Pnt P on the curseve. WE givee 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 hchapter, the limit. The idea of a imlimit plays a founationoundational role throughout calculus.
Timing
Character C a l c u l u - s i s a t o o l t h a t
Milliseconds 42 92 46 100 85 423 101 124 449 112 64 124 119 83 30 129 45 78 109 153 47 31 55 30 50
Character h e l p e s u s u -e -l -p -e -s - -u -s - -u e p s
Milliseconds 38 22 97 49 93 53 24 80 42 38 107 22 769 0 0 0 0 0 0 0 0 0 67 116 85
Character u -e -p -s - -u e l p s u s u n d e r s t a n d
Milliseconds 114 75 810 0 0 0 0 74 71 60 74 170 123 117 105 19 306 61 171 17 280 127 85 66 30
Character h o w a c h a n g e i n o n e q u a n
Milliseconds 92 30 71 22 75 57 66 95 49 53 62 37 60 26 54 47 45 65 32 59 59 69 97 91 91
Character t i t y i s r e a l -l -a l a t e d t o a
Milliseconds 125 108 56 85 45 54 75 87 149 53 98 22 263 202 163 69 38 46 44 44 60 21 58 42 94
Character c h a n g e i n a n o t h e r . H o w d o
Milliseconds 49 75 33 61 32 50 41 61 47 35 82 49 39 96 15 102 70 67 44 156 75 86 46 87 24
Character e s t h e s p e e d o f a f a l l i n g
Milliseconds 99 26 57 41 56 35 64 45 75 83 142 89 30 56 50 77 8 125 72 68 69 97 69 47 158
Character o b j e c t c h a n g e s a -a - -s a s a
Milliseconds 167 27 108 41 111 101 102 67 90 88 40 92 25 60 56 77 187 98 195 100 109 166 43 73 58
Character f u n c t i o n o f t i m e ? H o w d o
Milliseconds 92 98 92 122 48 133 5 28 20 64 68 70 33 97 19 30 72 136 43 172 62 87 79 51 56
Character e s t h e l e v e l o f w a t e r i n
Milliseconds 73 19 68 39 60 20 95 39 46 131 61 46 80 97 56 77 66 84 65 93 44 98 79 88 19
Character a b a r r e l t h -h -t c h a n g e a s a
Milliseconds 106 41 147 95 90 136 54 70 43 57 130 207 100 83 56 46 74 40 36 237 113 52 40 93 64
Character f u n c t i o n o f t h e a m o u n t o f
Milliseconds 52 84 117 54 110 21 18 30 52 73 13 76 66 24 49 54 282 99 96 62 120 49 71 16 114
Character l i q u i d p o u r e d i n t o i t ? W
Milliseconds 198 72 76 154 119 47 98 116 224 59 43 112 54 57 39 50 43 54 70 47 80 39 181 53 250
Character e s e e c h a n g e c o -o -c o c c u r i n g
Milliseconds 225 170 65 19 111 104 71 70 45 64 41 72 41 119 77 225 213 233 141 119 99 81 71 39 40
Character i n -c -c -u -r -i -n -g - -i -n - c c u r r i n g i
Milliseconds 88 49 43 70 765 0 0 0 0 0 0 0 0 0 0 68 102 108 132 391 185 39 77 86 31
Character n n e a r l y e v e r y t h i g n -n -g n g w
Milliseconds 48 62 75 20 186 69 80 54 40 26 113 76 27 80 64 70 79 105 93 219 95 116 27 67 59
Character e o b s e r v e i n t h e w o r l d a n
Milliseconds 29 88 49 71 156 86 0 119 108 200 82 47 37 35 62 47 33 59 17 54 78 44 47 60 60
Character d u n i v e r s e , a n d p o w e r f u l
Milliseconds 37 49 63 147 20 67 116 74 90 35 185 56 91 75 33 80 304 289 150 7 12 99 57 96 144
Character m o d e r n i n s t r u e n t s -n -s -t -r -u - -e
Milliseconds 92 42 35 103 20 58 50 95 30 75 68 50 22 130 70 50 58 74 699 0 0 0 0 0 0
Character -n -t -s n s t r u m e n t s h e l p u s s e e
Milliseconds 0 0 0 46 82 78 56 4 122 90 42 56 42 45 30 84 60 76 46 40 92 53 101 64 117
Character m o r e a n d m o r e . I n t h i s s
Milliseconds 56 46 64 18 39 42 40 54 50 60 56 44 83 33 70 46 124 132 37 40 49 34 76 57 89
Character e c t i o n e - -e w e i n t r o d u c e t
Milliseconds 34 111 116 33 11 27 68 93 86 431 115 118 41 123 20 53 47 53 33 117 15 117 103 53 439
Character h e i d e a s o f s a -a -s a v e r a g e a
Milliseconds 41 81 50 19 226 137 81 11 55 45 82 61 155 158 191 106 50 58 85 19 111 62 37 74 40
Character n d i n s t a n t a n e o u s r a t e s o f
Milliseconds 64 29 76 33 56 91 85 106 143 86 430 117 54 98 34 79 50 147 88 47 68 53 17 44 43
Character c h a n g e , a n d s h o w t h a t t h
Milliseconds 53 97 46 54 50 56 54 93 30 28 82 19 84 66 73 30 91 46 72 50 39 79 30 111 82
Character e y a r e c l o s e l y r e l a t e d t o
Milliseconds 71 94 35 57 70 40 50 93 59 115 92 20 82 48 36 47 33 67 60 40 59 56 34 103 34
Character t h e s l o p e o f a c u r v e a t
Milliseconds 30 103 49 18 90 89 355 130 181 152 34 26 79 56 41 107 54 50 94 100 83 33 281 85 60
Character a p o i t n P -P - -n -t n t P o n t h e
Milliseconds 81 70 63 19 31 74 9 54 228 250 101 107 119 111 37 52 133 100 75 60 23 84 36 64 65
Character c u r s e -e -s v e . W E g i v e -E - -g -i -v -e e
Milliseconds 183 170 102 135 63 420 92 201 105 89 20 97 83 140 97 62 80 69 842 0 0 0 0 0 159
Character g i v e p r e c i s e d e v e l o p m e n t
Milliseconds 123 38 83 37 96 53 66 50 34 129 86 83 32 61 136 179 70 79 77 119 120 94 130 72 56
Character s o f t h e s e i m p o r t a n t c o n c
Milliseconds 51 56 26 51 59 90 17 99 132 55 30 235 48 84 10 110 180 81 94 41 85 86 23 39 91
Character e p t s i n t h e n e x t c h a p t e r ,
Milliseconds 134 70 46 97 78 58 62 29 41 38 49 73 60 67 128 97 47 129 71 38 123 155 109 30 90
Character b u t f o r n o w w e u s e a n i n
Milliseconds 47 36 55 91 33 195 86 79 49 51 47 68 148 103 42 80 49 94 36 56 203 93 66 30 52
Character f o r m a l a p p r o a c h s o y o u w i
Milliseconds 82 82 88 47 99 82 72 203 59 111 66 96 50 79 67 258 395 46 87 58 71 43 42 35 88
Character l l s e e h o w t h e y l e a d n a t u
Milliseconds 17 107 50 93 33 106 50 65 45 30 77 50 52 24 82 58 239 83 79 31 93 33 70 48 42
Character r a l l y t o t h e m a i n i d e a o f
Milliseconds 76 23 68 102 33 71 70 45 37 96 53 43 62 71 51 97 35 74 72 51 157 24 81 40 101
Character t h i s h -h c h a p t e r , t h e l i m i
Milliseconds 158 137 19 39 61 55 89 316 62 91 52 100 124 91 54 50 70 79 43 27 80 133 337 143 63
Character t . T h e i d e a o f a i m -m -i l i m i
Milliseconds 116 90 33 57 46 30 86 24 73 122 50 70 34 75 55 68 96 129 101 314 125 162 43 71 92
Character t p l a y s a f o u n a t i o n -o -u -n -a -t -i
Milliseconds 92 83 53 15 81 60 74 70 67 86 29 74 43 97 310 161 96 20 20 713 0 0 0 0 0
Character -o -n o u n d a t i o n a l r o l e t h r o u g
Milliseconds 0 0 64 43 91 50 120 75 94 13 3 65 127 61 55 67 116 74 27 84 35 82 50 32 74
Character h o u t c a l c u l u s .
Milliseconds 48 69 83 63 54 119 213 127 118 235 196 136 124 76
WPM Timing
Seconds WPM
1.66 65.16
3.32 90.49
4.97 60.33
6.63 65.16
8.29 85.43
9.95 94.11
11.6 104.46
13.26 113.12
14.92 117.44
16.58 114.39
18.23 119.12
19.89 124.28
21.55 123.63
23.21 126.69
24.86 126.45
26.52 126.69
28.18 124.35
29.84 117.84
31.49 117.36
33.15 118.01
34.81 121
36.47 120.44
38.12 120.24
39.78 119.45
41.44 122.49
43.1 121.96
44.75 122
46.41 122.3
48.07 122.07
49.73 125.24
51.38 127.28
53.04 127.37
54.7 126.36
56.36 125.84
58.01 123.28
59.67 121.87
61.33 122.49
62.99 123.07
64.64 124
66.3 124.88
67.96 125.37
69.62 125.31
71.27 126.78
72.93 127.84
74.59 127.42
76.25 127.79
77.91 127.39
79.56 125.03
81.22 126.32
82.88 125.1