Bharat (bharat_coder)

Race #172

View Pit Stop page for race #172 by bharat_coder — Ghost race

View profile for Bharat (bharat_coder)

Official speed 70.59 wpm (146.88 seconds elapsed during race)
Without ending ping 70.75 wpm (340 ms delay sending score to TypeRacer’s server)
Timerless 70.81 wpm (119 ms elapsed before first character typed; 146.42 seconds elapsed during race)
Timerless minus one 70.73 wpm, ignoring the first character typed
Race Start March 6, 2025 9:11:20am UTC
Race Finish March 6, 2025 9:13:47am UTC
Outcome No win (2 of 4)
Opponents 1. boinkey (74.93 wpm)
Accuracy 97.8%
Points 190.59
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 Cal;cculus is a tool that hepllps us understand how a change in oune quantity is ereallated to ac 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 barerel change as a function of the aomonunt of liquid poured into it? We see shchange occuriring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this essection we introduce the ideas of average and instantaneous rates of change, and show that they are closely drelated to the slope of a curve at a point P on the curve. We give precise deelvelopments of these important concept s in the next chapter, but for now we use an informal appraooact sh so you will see how they lead naturally to the main lidea of this chapter, the limit. The idea of a limit play as a foundational role throgughout calculus.
Timing
Character C a l ; c -c -; c u l u s i s a t o o l t h
Milliseconds 119 402 181 50 166 386 144 401 96 213 184 125 83 187 122 104 173 100 228 89 168 227 67 248 57
Character a t h e p l -l -p l p s u s u n d e r s t a n
Milliseconds 113 83 46 176 72 158 215 321 151 229 197 130 108 189 118 103 251 192 83 193 72 229 73 108 163
Character d h o w a c h a n g e i n o u -u n e q
Milliseconds 100 93 152 128 147 125 522 152 172 112 89 174 71 136 80 231 83 120 205 91 375 185 100 105 605
Character u a n t i t y i s e -e r e a l -l -a l a t e d
Milliseconds 187 371 101 183 105 171 139 81 218 135 88 271 336 99 69 136 127 365 142 230 26 317 100 228 110
Character t o a c -c c h a n g e i n a n o t h e r .
Milliseconds 187 63 102 213 112 531 241 133 142 140 100 80 164 83 133 83 114 193 71 101 117 100 67 98 96
Character H o w d o e s t h e s p e e d o f a
Milliseconds 92 268 195 136 176 233 88 300 176 124 193 78 90 104 117 131 152 178 193 92 175 325 136 99 141
Character f a l l i n g o b j e c t c h a n g e a s
Milliseconds 161 140 148 208 182 86 69 218 614 85 166 104 116 267 131 375 119 121 124 66 113 116 434 119 133
Character a f u n c t i o n o f t i m e ? H o w d
Milliseconds 264 139 178 141 193 104 234 45 62 109 74 256 96 100 129 79 58 69 283 101 347 222 120 130 475
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 83 112 162 141 155 71 82 126 146 87 535 90 134 63 199 73 98 182 171 100 92 135 115 156 201
Character a b a r e -e r e l c h a n g e a s a f
Milliseconds 132 145 112 144 227 219 198 349 62 84 177 466 96 148 98 170 63 119 77 177 97 167 274 127 233
Character u n c t i o n o f t h e a o -o m o n -n u n t
Milliseconds 124 192 88 211 53 50 98 97 310 126 123 123 79 95 112 155 120 345 211 160 131 450 182 206 101
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 98 182 98 81 127 211 505 123 232 80 259 199 222 222 369 84 254 207 211 131 180 56 101 260 120
Character ? W e s e e s h -h -s c h a n g e o c c u r
Milliseconds 288 100 363 233 118 201 202 159 77 168 170 288 153 110 126 106 214 95 104 113 263 202 161 135 82
Character i -i r i n g i n n e a r l y e v e r y t h i
Milliseconds 166 339 108 143 94 65 153 185 92 90 403 71 105 102 89 150 97 185 171 104 114 109 206 62 110
Character n g w e o b s e r v e i n t h e w o r l
Milliseconds 106 50 132 138 112 137 382 76 293 155 161 281 102 115 148 88 79 121 77 116 146 274 105 97 158
Character d a n d u n i v e r s e , a n d p o w e r
Milliseconds 133 103 131 88 253 115 228 201 337 170 175 77 226 66 158 71 244 63 134 66 303 184 116 47 115
Character f u l m o d e r n i n s t r u m e n t s h e
Milliseconds 256 62 136 123 239 113 100 165 105 202 80 357 69 138 123 231 139 234 75 105 93 171 102 186 99
Character l p u s s e e m o r e a n d m o r e .
Milliseconds 236 180 119 231 109 94 204 141 179 48 198 169 116 50 87 193 71 138 58 181 118 132 66 100 85
Character I n t h i s e s -s -e s e c t i o n w e i n
Milliseconds 261 306 159 155 78 171 114 67 306 7 454 106 141 84 180 237 68 0 149 95 177 101 233 215 82
Character t r o d u c e t h e i d e a s o f a v e r
Milliseconds 87 209 71 213 113 122 120 151 230 61 107 111 188 79 197 189 181 170 296 165 90 192 178 157 87
Character a g e a n d i n s t a n t a n e o u s r a t
Milliseconds 171 117 89 120 203 160 120 93 176 100 108 114 108 459 107 391 102 597 112 285 537 101 299 463 109
Character e s o f c h a n g e , a n d s h o w t h
Milliseconds 93 215 151 303 99 78 160 146 67 200 80 134 83 87 204 44 137 81 313 81 159 86 108 165 89
Character a t t h e y a r e c l o s e l y d -d r e l
Milliseconds 102 63 48 254 67 136 94 85 245 87 77 140 145 122 197 104 120 172 185 76 349 332 53 66 228
Character a t e d t o t h e s l o p e o f a c u
Milliseconds 116 187 84 198 93 173 49 94 140 68 91 107 463 150 528 190 166 134 166 114 75 217 151 92 240
Character r v e a t a p o i n t P o n t h e c
Milliseconds 69 289 138 119 167 129 100 248 116 329 164 227 118 71 135 262 128 208 99 104 178 68 82 106 168
Character u r v e . W e g i v e p r e c i s e d e e
Milliseconds 190 67 236 115 73 77 255 193 99 287 219 111 153 86 230 105 103 241 132 106 96 154 310 202 258
Character l -l -e v e l o p m e n t s o f t h e s e i m
Milliseconds 124 352 135 154 151 323 238 203 229 88 137 89 176 86 154 95 95 129 56 558 129 122 170 158 121
Character p o r t a n t c o n c e p t - s i n t h e
Milliseconds 267 207 137 182 125 352 116 124 244 98 167 131 127 112 175 257 420 67 81 171 94 67 167 83 324
Character n e x t c h a p t e r , b u t f o r n o
Milliseconds 232 312 152 213 203 85 166 66 118 210 107 127 104 82 96 291 32 557 143 313 120 101 80 167 137
Character w w e u s e a n i n f o r m a l a p p r
Milliseconds 125 102 203 112 105 234 103 84 100 159 67 125 180 100 222 169 130 157 184 67 104 178 142 179 350
Character a o -o -a o a c t s -s - -t h s o y o u w i l
Milliseconds 234 222 269 130 214 96 66 219 69 208 306 139 193 239 109 193 79 114 194 93 118 89 192 83 163
Character l s e e h o w t h e y l e a d n a t u r
Milliseconds 187 314 140 209 149 105 168 90 157 129 144 57 120 104 75 195 136 142 145 132 158 144 114 141 349
Character a l l y t o t h e m a i n l -l i d e a o
Milliseconds 142 125 153 178 85 175 51 95 162 56 107 74 155 194 129 49 174 308 321 209 79 165 111 199 172
Character f t h i s c h a p t e r , t h e l i m i t
Milliseconds 130 67 180 129 141 119 113 120 100 117 113 119 137 143 106 89 161 51 111 78 121 199 246 112 127
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 130 93 421 192 135 122 322 217 189 127 166 183 110 79 347 115 148 159 197 182 95 94 201 157 172
Character y a -a - s a f o u n d a t i o n a l r o l
Milliseconds 86 63 300 249 133 129 122 144 209 194 120 78 192 260 119 135 95 33 99 394 125 333 248 128 345
Character e t h r o g -g u g h o u t c a l c u l u s .
Milliseconds 121 92 166 70 161 98 139 423 304 139 102 327 72 61 51 192 159 136 159 141 205 221 141 122
WPM Timing
Seconds WPM
2.94 44.94
5.88 53.11
8.81 64
11.75 64.34
14.69 62.09
17.63 59.91
20.56 63.03
23.5 64.85
26.44 65.36
29.38 65.77
32.31 67.22
35.25 68.08
38.19 67.88
41.13 68.86
44.06 67.81
47 67.66
49.94 67.28
52.88 66.72
55.81 67.3
58.75 67.81
61.69 68.67
64.63 69.26
67.56 69.8
70.5 70.47
73.44 70.1
76.38 70.7
79.31 71.11
82.25 70.76
85.19 70.15
88.13 71.08
91.06 71.03
94 71.11
96.94 71.18
99.88 71.61
102.81 71.55
105.75 71.03
108.69 70.88
111.63 70.74
114.56 70.7
117.5 71.08
120.44 70.54
123.38 70.22
126.31 70.49
129.25 70.93
132.19 70.9
135.13 71.13
138.06 71.1
141 70.89
143.94 70.7
146.88 70.59