Jack (knackjack)

Race #279

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Official speed 87.77 wpm (118.13 seconds elapsed during race)
Without ending ping 88.03 wpm (353 ms delay sending score to TypeRacer’s server)
Timerless 88.55 wpm (694 ms elapsed before first character typed; 117.08 seconds elapsed during race)
Timerless minus one 88.45 wpm, ignoring the first character typed
Race Start October 27, 2023 7:17:17pm UTC
Race Finish October 27, 2023 7:19:15pm UTC
Outcome No win (3 of 5)
Accuracy 98.5%
Points 236.98
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 toll that ol 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? 'hHow does the level of water in a barrell change as a function of the amount of liquid poured into it? We see change occuring iring in nearly everything we observe int he wo 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 slop e of a curve at a oipoint P on the curve. We give precise developments of these importnaant concepts in the next champter, but for now we use and info 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 foundationa l role throughout calculus.
Timing
Character C a l c u l u s i s a t o l l t h a t -
Milliseconds 694 213 0 554 0 0 235 0 379 0 0 0 323 0 0 90 223 0 302 0 76 62 55 71 360
Character -t -a -h -t - -l -l o l t h a t h e l p s u s u
Milliseconds 122 151 158 138 144 147 386 285 215 81 193 75 25 81 35 174 70 88 166 86 92 110 83 79 130
Character n d e r s t a n d h o w a c h a n g e i n
Milliseconds 230 97 147 39 172 147 100 580 127 115 149 0 168 0 124 99 151 111 71 99 97 136 0 72 96
Character o n e q u a n t i t y i s r e l a t e d
Milliseconds 79 119 103 104 115 161 80 121 107 155 48 132 132 99 143 86 109 251 0 144 176 171 176 120 115
Character t o a c h a n g e i n a n o t h e r - .
Milliseconds 128 0 99 129 80 147 97 117 46 85 131 57 134 37 59 137 86 111 114 80 169 0 195 325 210
Character H o w d o e s t h e s p e e d o f a
Milliseconds 124 188 111 85 122 231 98 113 67 132 47 124 0 134 46 151 92 129 248 229 204 0 119 0 198
Character f a l l i n g o b j e c t c h a n g e a s
Milliseconds 101 100 229 174 163 90 0 154 0 190 190 109 200 113 123 164 0 137 95 0 147 150 88 111 111
Character a f u n c t i o n o f t i m e ? ' h -h -' H
Milliseconds 159 457 203 78 173 133 207 43 27 33 112 116 79 94 94 138 0 54 416 139 159 0 533 117 356
Character o w d o e s t h e l e v e l o f w a t e
Milliseconds 53 74 99 178 34 100 71 114 68 43 47 92 187 34 113 66 108 134 195 100 118 137 140 0 149
Character r i n a b a r r e l l -l c h a n g e a s
Milliseconds 136 0 112 0 143 0 140 85 112 105 179 107 236 366 527 395 164 142 99 109 0 132 101 123 95
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 116 116 0 193 151 191 81 186 128 0 0 90 108 98 106 56 127 0 98 188 95 202 33 201 51
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 50 115 64 50 107 137 174 93 169 156 88 223 147 89 81 129 242 131 120 50 140 91 61 172 86
Character ? W e s e e c h a n g e o c c u r i n g
Milliseconds 311 209 229 131 120 164 174 164 0 191 189 0 138 0 178 109 190 147 142 130 103 246 76 116 131
Character i -i - -g -n -i r i n g i n n e a r l y e v e r
Milliseconds 130 275 153 157 149 163 297 286 132 63 145 75 0 85 216 99 134 84 112 159 113 192 128 88 97
Character y t h i n g w e o b s e r v e i n t h e
Milliseconds 78 169 78 68 95 50 107 81 67 141 201 122 225 101 109 237 144 118 53 29 136 0 103 0 145
Character w o -o -w - -e -h - -t t h e w o r l d a n d u
Milliseconds 83 88 329 121 134 151 201 147 151 573 136 89 71 99 90 107 77 146 105 82 76 90 76 61 97
Character n i v e r s e , a n d p o w e r f u l m o d
Milliseconds 157 109 140 123 104 154 277 148 94 223 143 0 203 130 161 0 145 0 235 101 153 59 115 91 147
Character e r n i n s t r u m e n t s h e l p u s s
Milliseconds 161 68 136 149 157 60 194 110 213 78 213 81 108 59 153 192 187 81 49 202 143 209 64 66 154
Character e e m o r e a n d m o r e . I n t h i s
Milliseconds 110 168 565 109 70 58 49 104 86 191 0 144 0 109 0 110 169 109 201 113 140 0 137 486 0
Character s e c t i o n w e i n t r o d u c e t h e
Milliseconds 132 152 150 194 146 191 0 0 141 0 148 93 224 0 130 182 67 199 151 94 138 92 93 115 0
Character i d e a s o f a v e r a g e a n d i n s
Milliseconds 126 116 71 143 73 206 165 128 120 82 111 127 170 64 165 59 113 113 90 71 102 50 120 65 265
Character t a n t a n e o u s r a t e s o f c h a n g
Milliseconds 213 145 127 270 141 135 341 242 92 167 59 209 151 118 56 128 104 71 97 74 205 106 88 89 88
Character e , a n d s h o w t h a t t h e y a r e
Milliseconds 86 136 88 126 96 160 0 118 141 0 154 145 126 138 0 145 0 169 0 111 131 0 166 0 121
Character c l o s e l y r e l a t e d t o t h e s
Milliseconds 0 171 137 125 102 163 209 202 135 177 99 146 57 123 64 218 82 154 0 71 119 60 24 122 122
Character l o p - e o f a c u r v e a t a o i
Milliseconds 80 177 186 86 474 73 90 205 83 101 25 139 57 141 104 201 69 148 75 120 97 98 58 557 132
Character -i -o p o i n t P o n t h e c u r v e . W
Milliseconds 292 133 268 110 127 101 103 114 154 152 185 78 87 100 78 90 99 126 57 112 205 82 128 60 253
Character e g i v e p r e c i s e d e v e l o p m e n
Milliseconds 133 106 139 110 123 0 184 130 36 130 201 137 103 135 152 171 169 179 52 185 178 133 270 0 135
Character t s o f t h e s e i m p o r t n a -a -n a n t
Milliseconds 100 48 151 137 74 56 138 87 89 106 68 163 130 105 138 190 63 174 234 95 306 145 68 166 43
Character c o n c e p t s i n t h e n e x t c h a
Milliseconds 97 280 80 65 207 257 79 115 82 102 181 0 177 0 156 0 120 253 177 227 152 104 193 148 85
Character m -m p t e r , b u t f o r n o w w e u s
Milliseconds 167 447 179 202 120 84 111 80 150 141 0 192 0 150 0 146 0 188 0 106 60 101 100 165 65
Character e a n d i n f o -o -f -n -i - -d i n f o r m a l
Milliseconds 81 162 112 84 105 69 155 86 48 98 240 154 155 161 150 141 250 228 54 185 81 47 138 80 554
Character a p p r o a c h s o y o u w i l l s e e
Milliseconds 107 144 81 144 137 162 59 212 53 120 160 96 80 128 0 196 0 105 93 137 201 86 117 124 153
Character h o w t h e y l e a d n a t u r a l l y
Milliseconds 53 89 78 64 109 0 123 87 64 89 159 99 110 115 55 182 105 171 121 106 119 79 133 130 110
Character t o t h e m a i n i d e a o f t h i s
Milliseconds 158 0 121 0 167 0 181 0 127 37 49 111 155 142 111 75 154 64 76 109 48 90 67 87 95
Character c h a p t e r , t h e l i m i t . T h e i
Milliseconds 151 105 93 173 162 155 89 138 61 212 66 29 85 353 108 146 91 196 181 0 280 66 56 70 212
Character d e a o f a l i m i t p l a y s a f o
Milliseconds 66 93 80 95 168 89 104 84 121 287 210 140 121 101 114 235 190 58 146 109 168 182 94 133 113
Character u n d a t i o n a - l r o l e t h r o u g h
Milliseconds 0 197 64 151 91 190 0 100 155 167 814 162 77 169 101 188 39 130 105 79 145 97 79 114 183
Character o u t c a l c u l u s .
Milliseconds 270 67 109 73 247 89 136 141 141 256 178 172 130
WPM Timing
Seconds WPM
2.36 60.95
4.73 40.63
7.09 57.57
9.45 64.76
11.81 75.17
14.18 79.58
16.54 81.27
18.9 83.81
21.26 85.78
23.63 85.84
25.99 83.58
28.35 86.77
30.71 84.39
33.08 86.35
35.44 88.04
37.8 87.94
40.16 87.84
42.53 84.09
44.89 85.28
47.25 85.33
49.61 82.48
51.98 83.35
54.34 84.14
56.7 84.23
59.06 84.93
61.43 85.37
63.79 85.97
66.15 86.53
68.51 86.17
70.88 87.03
73.24 87.82
75.6 88.09
77.96 88.19
80.33 87.24
82.69 87.8
85.05 87.76
87.41 87.72
89.78 87.68
92.14 86.87
94.5 87.74
96.86 86.35
99.23 86.23
101.59 87.17
103.95 87.62
106.31 88.38
108.68 88.56
111.04 88.51
113.4 88.57
115.76 88.11
118.13 87.77