Marsal (marsalsz)

Race #548

View Pit Stop page for race #548 by marsalsz — Ghost race

View profile for Marsal (marsalsz)

Official speed 84.86 wpm (122.18 seconds elapsed during race)
Without ending ping 85.17 wpm (446 ms delay sending score to TypeRacer’s server)
Timerless 85.41 wpm (336 ms elapsed before first character typed; 121.40 seconds elapsed during race)
Timerless minus one 85.31 wpm, ignoring the first character typed
Race Start December 30, 2023 9:47:34pm UTC
Race Finish December 30, 2023 9:49:36pm UTC
Outcome No win (3 of 5)
Opponents 2. jgb000 (89.05 wpm)
Accuracy 97.0%
Points 229.11
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 tollool that helps us understadnd hiwow c aha ahcnchange in one quanitytity is related to a change in another. How does the speed of a falling object change as a function of time> ? HOw ow does the level of water in a barrel change as a function of the amount of liquid pioured ni tinto it? We see change occurring in enanearly everything we obsevrve in the world and universe, and powerful modern instruments help us wssee more and more. In this section we introduce the ideas of average and instantaneous rates of change, and hsshow that they are closely related to the slope of a curve att a point P on thec curve. We give precise developemments of these important concept in s in the next chapter, but for now we use an informal sapporroach so uoyou will se ee how they lead naturally to the main idea of this chapter, the ilimit. The idea of a limit plays a foundational erolrole throught out hout calcllulus.
Timing
Character C a l c u l u s i s a t o l l -l -l -o o o l
Milliseconds 336 372 137 146 119 150 185 75 77 130 75 81 116 51 183 52 155 132 250 140 109 429 122 96 128
Character t h a t h e l p s u s u n d e r s t a d -d n
Milliseconds 85 81 112 70 51 139 143 65 83 111 77 100 93 62 152 57 73 107 126 172 95 127 229 412 179
Character d h i w -w -i o w c a h -h -a - -c a a h c n -n
Milliseconds 67 121 123 104 67 304 127 221 252 106 108 73 91 85 255 127 124 127 126 105 108 91 89 103 237
Character -c -h -a c h a n g e i n o n e q u a n i t y -y
Milliseconds 121 136 309 124 109 107 68 124 68 74 101 63 64 208 96 91 70 137 97 101 63 99 98 135 242
Character -t -i t i t y i s r e l a t e d t o a c h
Milliseconds 128 114 153 58 121 47 82 119 56 80 111 143 52 139 70 76 100 65 151 11 100 101 63 107 64
Character a n g e i n a n o t h e r . H o w d o e s
Milliseconds 117 62 138 68 64 105 53 55 115 60 120 69 68 113 150 47 56 204 112 71 59 118 45 91 151
Character t h e s p e e d o f a f a l l i n g o
Milliseconds 80 109 60 115 60 108 78 92 137 151 42 101 121 64 560 111 111 154 48 123 146 88 105 66 135
Character b j e c t c h a n g e a s a f u n c t i o
Milliseconds 298 129 59 183 53 40 203 58 125 80 131 63 105 87 164 119 43 107 179 29 44 94 175 27 58
Character n o f t i m e > - -> ? H O w - -w -O o w
Milliseconds 170 187 141 90 93 72 106 59 20 278 156 279 116 253 128 186 157 136 55 290 119 153 201 139 69
Character d o e s t h e l e v e l o f w a t e r i
Milliseconds 129 50 97 147 92 123 49 121 49 128 75 134 123 59 92 129 57 62 137 150 67 125 134 111 21
Character n a b a r r e l c h a n g e a s a f u
Milliseconds 431 162 115 83 237 104 209 120 189 195 101 140 42 151 68 135 38 103 90 137 61 117 121 314 50
Character n c t i o n o f t h e a m o u n t o f l
Milliseconds 58 73 243 39 98 146 127 117 102 47 142 43 118 48 147 41 125 194 83 66 59 168 54 111 137
Character i q u i d p i -i o u r e d n i t -t - -i -n i n
Milliseconds 159 71 92 107 107 53 150 104 321 143 198 87 172 114 70 110 17 102 76 250 99 127 130 266 82
Character t o i t ? W e s e e c h a n g e o c c u
Milliseconds 87 74 97 164 59 282 131 201 289 34 177 164 146 77 118 65 105 61 129 34 141 91 107 174 84
Character r r i n g i n e n a -a -n -e n e a r l y e v e
Milliseconds 84 294 169 67 77 89 350 87 127 122 27 327 157 124 112 166 27 167 175 146 103 70 399 90 65
Character r y t h i n g w e o b s e v -v r v e i n t
Milliseconds 158 40 152 61 92 49 85 65 157 147 52 110 88 77 157 257 270 113 84 100 163 146 47 52 84
Character h e w o r l d a n d u n i v e r s e , a n
Milliseconds 105 59 112 332 78 112 73 91 85 148 47 135 56 127 58 110 48 138 116 174 135 38 75 119 44
Character d p o w e r f u l m o d e r n i n s t r u m
Milliseconds 135 44 134 33 34 162 148 141 58 147 114 93 91 37 117 166 70 63 132 69 208 222 144 48 164
Character e n t s h e l p u s w s -s -w s e e m o r e
Milliseconds 107 65 122 183 74 131 136 40 144 129 251 87 177 143 94 214 132 106 257 151 29 141 92 26 216
Character a n d m o r e . I n t h i s s e c t i o
Milliseconds 89 107 55 127 73 117 80 47 153 101 67 206 162 122 190 124 38 65 109 126 153 151 193 32 60
Character n w e i n t r o d u c e t h e i d e a s
Milliseconds 147 74 90 143 71 123 47 75 132 65 159 47 164 118 49 154 53 116 37 101 58 127 159 163 88
Character o f a v e r a g e a n d i n s t a n t a n e
Milliseconds 99 117 107 203 111 68 151 164 83 83 81 102 85 51 138 99 60 85 387 170 60 205 277 207 171
Character o u s r a t e s o f c h a n g e , a n d
Milliseconds 246 103 149 110 265 207 51 93 147 27 118 201 369 80 130 286 88 171 162 55 68 140 35 123 49
Character h s -s -h s h o w t h a t t h e y a r e c l
Milliseconds 145 97 198 101 95 74 115 49 78 132 52 135 58 69 107 65 128 55 74 68 166 130 84 92 69
Character o s e l y r e l a t e d t o t h e s l o p
Milliseconds 114 67 143 65 715 67 181 161 68 146 125 173 152 78 120 37 78 104 65 103 64 126 55 192 70
Character e o f a c u r v e a t -t t a p o i n t
Milliseconds 70 193 233 114 44 154 32 146 73 86 105 114 101 127 248 174 340 148 110 65 228 184 202 52 51
Character P o n t h e c - -c c u r v e . W e g
Milliseconds 352 246 126 301 474 307 117 102 72 157 85 465 112 136 148 110 57 144 150 47 62 280 164 102 117
Character i v e p r e c i s e d e v e l o p e m -m -e m e
Milliseconds 65 125 117 68 124 69 142 168 51 142 160 84 149 123 356 167 262 149 103 153 65 244 104 148 61
Character n t s o f t h e s e i m p o r t a n t c o
Milliseconds 100 70 181 59 110 93 45 130 80 84 165 147 70 135 60 170 44 43 150 200 106 85 95 151 16
Character n c e p t i n - -n -i - s i n t h e n e x
Milliseconds 96 119 107 106 87 98 151 39 70 219 116 134 139 114 105 115 43 107 18 505 84 85 169 100 153
Character t c h a p t e r , b u t f o r n o w w e
Milliseconds 53 36 153 82 139 64 193 213 107 51 64 165 105 59 84 133 63 96 64 96 92 72 127 166 127
Character u s e a n i n f o r m a l s -s a p p o r -r
Milliseconds 87 196 45 172 52 120 77 107 131 43 98 84 52 108 107 188 99 202 298 144 96 141 83 150 283
Character -o r o a c h s o u o -o -u y o u w i l l s e
Milliseconds 117 81 42 139 115 66 63 117 67 57 319 143 236 130 142 111 58 72 96 75 157 115 112 29 169
Character e -e - e h o w t h e y l e a d n a t u r
Milliseconds 41 152 186 108 130 48 137 102 71 89 316 23 132 74 13 165 22 146 172 46 154 71 208 111 72
Character a l l y t o t h e m a i n i d e a o f
Milliseconds 204 52 110 146 109 361 76 29 147 73 86 86 136 195 6 304 40 351 112 122 163 323 170 123 98
Character t h i s c h a p t e r , t h e i -i l i m i t
Milliseconds 115 44 76 63 157 102 120 118 118 93 239 154 65 40 206 49 114 64 180 241 199 164 74 108 63
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 124 46 349 128 91 63 93 52 104 159 56 88 100 105 70 84 251 163 81 93 97 80 158 57 114
Character y s a f o u n d a t i o n a l e r o l -l -o -r
Milliseconds 97 67 179 116 74 257 68 200 48 73 207 189 43 49 132 117 48 92 273 17 64 93 231 132 98
Character -e r o l e t h r o u g h t - -t -h o u t - -t -u
Milliseconds 136 168 16 93 135 75 365 30 154 99 117 120 85 120 102 329 124 125 235 38 94 135 198 129 146
Character -o h o u t c a l c l l -l -l u l u s .
Milliseconds 123 185 135 41 63 127 567 137 49 197 102 64 402 119 174 153 147 71 116
WPM Timing
Seconds WPM
2.44 73.66
4.89 73.66
7.33 73.66
9.77 61.39
12.22 62.86
14.66 67.12
17.1 76.47
19.55 79.8
21.99 82.39
24.44 85.94
26.88 79.91
29.32 83.48
31.77 83.11
34.21 85.24
36.65 86.1
39.1 84.1
41.54 84.64
43.98 83.21
46.43 83.74
48.87 83.73
51.31 86.06
53.76 86.61
56.2 85.83
58.65 86.76
61.09 87.81
63.53 88.77
65.98 88.4
68.42 88.05
70.86 88.57
73.31 88.4
75.75 89.19
78.19 88.7
80.64 87.35
83.08 87.1
85.52 86.71
87.97 87.17
90.41 86.67
92.86 86.97
95.3 87.77
97.74 87.05
100.19 86.96
102.63 86.99
105.07 87.14
107.52 87.17
109.96 87.09
112.4 87.54
114.85 87.66
117.29 86.96
119.73 85.69
122.18 84.86