jolly1joel (aabossboy)

Race #31415

View Pit Stop page for race #31415 by aabossboy — Ghost race

View profile for jolly1joel (aabossboy)

Official speed 77.36 wpm (134.02 seconds elapsed during race)
Without ending ping 77.47 wpm (184 ms delay sending score to TypeRacer’s server)
Timerless 77.78 wpm (536 ms elapsed before first character typed; 133.30 seconds elapsed during race)
Timerless minus one 77.69 wpm, ignoring the first character typed
Race Start May 12, 2024 4:33:29am UTC
Race Finish May 12, 2024 4:35:43am UTC
Outcome No win (5 of 5)
Opponents 1. pugslyyy (114.29 wpm)
2. eddyyang2003 (106.00 wpm)
4. rocketspdtyper (90.90 wpm)
Accuracy 97.3%
Points 208.87
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 Calculsus is a tool that haelps us understand how a change in one quantity is related to a change in another, . Howe doeHow does the speed of a falling object change as a function of time? How does thel evthe leve ll of water in a bareerel change as a ufunction of the amount of liquid poured into it? ?We wsee change occuriring in nearly everything we observe in the world and universe, and powerful modern ainstruments help us see more tand naand more. In this section we tintroduce the ideas os f average and instantaneous rates of change, asnnd show that they are closely related to the slope of a curve at a point P on the curve. We give precise developments ofthe theof these oimportant concepts in the next chapter , but for now we use an informal approach so you will see how they lead naturally to the main indda ea of this chapter, the limit. The idea of ta limit plays an foundational frole throughout claalculsuus.
Timing
Character C a l c u l s -s u s i s a t o o l t h a t
Milliseconds 536 129 151 104 159 150 153 397 189 62 120 114 38 112 89 110 67 86 120 161 82 222 162 49 53
Character h a -a e l p s u s u n d e r s t a n d h o
Milliseconds 103 97 71 558 52 149 138 95 89 127 100 84 167 417 168 170 76 122 113 71 129 40 95 136 61
Character w a c h a n g e i n o n e q u a n t i t
Milliseconds 51 85 99 105 162 69 119 96 92 154 69 102 72 59 116 84 69 87 435 93 338 157 136 133 118
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 119 164 109 108 68 121 91 136 82 68 114 233 235 104 79 116 86 99 151 102 112 71 63 169 54
Character i n a n o t h e r , - -, . H o w e d o e -d
Milliseconds 161 89 63 121 78 99 71 113 37 97 116 133 312 128 207 86 180 101 105 96 100 124 64 129 363
Character -o -e -H -o -w -e - H o w d o e s t h e s p e e d
Milliseconds 0 0 156 0 0 0 0 338 167 112 113 149 89 110 76 80 70 110 37 96 69 131 83 133 174
Character o f a f a l l i n g o b j e c t c h a n
Milliseconds 93 123 92 101 103 96 536 113 82 125 143 120 28 76 143 184 216 151 184 218 80 164 93 95 82
Character g e a s a f u n c t i o n o f t i m e ?
Milliseconds 84 155 93 117 166 83 93 93 99 71 168 63 231 34 99 85 90 110 81 102 90 112 104 47 329
Character H o w d o e s t h e l e v -e -v -t -h -e -l - t
Milliseconds 104 304 159 182 188 173 91 102 81 56 77 95 87 86 23 111 196 365 0 143 0 0 0 0 143
Character h e l e v e l -l - l o f w a t e r i n
Milliseconds 85 81 85 97 37 330 150 148 76 508 124 178 71 135 82 111 431 69 106 143 137 97 90 77 65
Character a b a r e e -e -e r e l c h a n g e a s a
Milliseconds 120 104 44 101 88 163 178 490 129 72 79 137 143 209 78 99 86 78 154 78 211 125 122 94 84
Character u -u f u n c t i o n o f t h e a m o u n t
Milliseconds 134 435 64 135 181 68 205 65 103 111 81 153 88 80 88 59 125 64 83 44 119 134 179 69 67
Character o f l i q u i d p o u r e d i n t o i t ?
Milliseconds 105 183 433 183 110 231 69 99 140 145 382 165 252 121 103 199 110 117 113 104 100 134 155 101 205
Character ? -? W e w -w s e e c h a n g e o c c u r i
Milliseconds 175 214 768 295 183 119 213 383 73 150 153 141 170 90 74 108 48 186 77 147 120 200 182 68 145
Character -i r i n g i n n e a r l y e v e r y t h i n
Milliseconds 355 98 132 69 116 73 79 64 108 117 108 67 69 64 142 112 383 211 166 85 58 126 73 126 85
Character g w e o b s e r v e i n t h e w o r l d
Milliseconds 68 130 136 83 129 318 158 92 118 575 231 174 90 526 102 20 87 82 46 88 94 86 36 120 60
Character a n d u n i v e r s e , a n d p o w e r f
Milliseconds 99 100 115 27 96 148 161 68 100 183 125 151 129 162 124 110 85 53 80 73 92 119 52 98 196
Character u l m o d e r n a -a i n s t r u m e n t s h
Milliseconds 68 142 92 183 102 136 194 102 135 131 133 365 185 84 66 85 185 129 189 293 118 117 89 138 486
Character e l p u s s e e m o r e t a n d -t -a -n -d
Milliseconds 118 102 148 135 196 126 123 124 303 176 138 119 96 50 85 65 88 109 90 110 90 258 0 0 0
Character - n a -a -n a n d m o r e . I n t h i s s e
Milliseconds 0 352 18 581 135 63 170 72 125 106 20 78 680 135 134 267 147 110 181 177 101 82 104 110 203
Character c t i o n w e t -t i n t r o d u c e t h e
Milliseconds 211 190 55 125 70 83 106 94 106 110 449 199 74 43 182 137 130 149 117 170 132 115 73 94 84
Character i d e a s o s - -s f a v e r a g e a n d
Milliseconds 331 166 156 140 189 150 134 123 146 598 116 70 118 697 168 182 98 119 137 168 63 32 162 23 95
Character i n s t a n t a n e o u s r a t e s o f c h
Milliseconds 50 101 51 83 112 200 127 542 86 233 216 99 125 142 250 103 120 126 107 112 260 58 97 167 79
Character a n g e , a s n -n -s n d s h o w t h a t t
Milliseconds 91 81 87 151 114 71 79 129 19 580 133 190 45 88 109 101 85 81 105 78 134 50 101 69 90
Character h e y a r e c l o s e l y r e l a t e d t
Milliseconds 40 141 42 119 31 104 80 106 375 72 163 152 84 152 184 140 269 168 152 98 102 131 221 120 144
Character o t h e s l o p e o f a c u r v e a t
Milliseconds 82 116 37 81 83 88 78 69 166 116 109 95 168 61 99 102 107 175 104 128 268 195 88 121 128
Character a p o i n t P o n t h e c u r v e .
Milliseconds 104 104 95 82 69 129 67 84 115 936 547 247 92 48 98 87 78 67 255 191 73 248 181 104 101
Character W e g i v e p r e c i s e d e v e l o p m e
Milliseconds 799 129 151 684 100 116 139 91 108 45 137 203 143 118 83 114 182 255 201 151 94 138 136 193 152
Character n t s o f t h e -e -h t h e -t -h -e -o -f -t - o f
Milliseconds 117 95 220 101 115 85 215 50 121 336 141 85 50 82 90 413 0 0 144 0 0 0 230 138 123
Character t h e s e o -o i m p o r t a n t c o n c e p t
Milliseconds 132 85 112 91 106 120 215 443 207 506 183 157 138 137 96 136 82 120 178 85 240 225 199 129 189
Character s i n t h e n e x t c h a p t e r - ,
Milliseconds 199 107 161 87 77 43 109 65 75 144 86 197 197 132 469 103 82 118 115 140 96 152 399 197 114
Character b u t f o r n o w w e u s e a n i n f
Milliseconds 106 164 52 79 121 65 132 84 64 85 74 97 110 120 106 340 91 77 372 194 84 100 101 88 80
Character o r m a l a p p r o a c h s o y o u w i l
Milliseconds 152 148 36 160 181 140 198 116 142 157 136 168 170 125 124 128 99 158 159 119 81 50 117 49 168
Character l s e e h o w t h e y l e a d n a t u r
Milliseconds 121 94 72 184 158 119 107 65 93 58 1042 84 93 77 87 110 85 86 160 106 328 110 96 120 92
Character a l l y t o t h e m a i n i n d -d -n d a
Milliseconds 98 125 117 144 120 33 59 121 49 68 118 56 42 132 85 99 50 151 79 90 386 126 43 173 185
Character - -a e a o f t h i s c h a p t e r , t h e
Milliseconds 423 126 64 90 97 168 131 81 135 69 100 67 83 173 173 136 131 56 163 68 130 85 59 95 79
Character l i m i t . T h e i d e a o f t -t a l
Milliseconds 89 28 84 121 164 103 148 113 165 139 60 77 294 103 158 43 127 154 92 88 122 496 46 75 173
Character i m i t p l a y s a n -n f o u n d a t i o n
Milliseconds 143 111 197 104 98 199 163 123 153 95 105 294 133 485 104 79 57 89 191 80 119 80 69 78 97
Character a l f -f r o l e t h r o u g h o u t c l a -a
Milliseconds 78 143 68 140 376 40 141 155 65 83 265 71 141 64 42 135 59 107 83 21 108 173 105 106 398
Character -l a l c u l s u -u -s u s .
Milliseconds 109 60 140 80 154 160 136 115 348 120 170 119 127
WPM Timing
Seconds WPM
2.68 67.15
5.36 73.87
8.04 82.08
10.72 85.06
13.4 88.64
16.08 80.58
18.76 81.86
21.44 81.7
24.12 85.56
26.8 83.27
29.49 79.77
32.17 79.46
34.85 78.86
37.53 81.22
40.21 79.99
42.89 78.34
45.57 77.95
48.25 78.1
50.93 78.23
53.61 79.69
56.29 80.8
58.97 79.97
61.65 79.8
64.33 77.79
67.01 78.26
69.69 78
72.37 76.6
75.05 76.91
77.73 77.34
80.41 77.75
83.09 77.98
85.77 78.9
88.46 78.68
91.14 78.34
93.82 77.9
96.5 77.6
99.18 76.59
101.86 75.99
104.54 76.22
107.22 76.22
109.9 76.65
112.58 76.96
115.26 76.94
117.94 77.84
120.62 77.1
123.3 77.86
125.98 77.82
128.66 77.79
131.34 78.12
134.02 77.36