physics lab1
Activity 1 Finding the Origin
| Time (s) Auto | Position (m) | |
| 0 | 0.136 | |
| 0.05 | 0.139 | |
| 0.1 | 0.135 | |
| 0.15 | 0.141 | |
| 0.2 | 0.141 | |
| 0.25 | 0.141 | Motion of the Cart Begins |
| 0.3 | 0.138 | |
| 0.35 | 0.136 | |
| 0.4 | 0.139 | |
| 0.45 | 0.148 | |
| 0.5 | 0.155 | |
| 0.55 | 0.162 | |
| 0.6 | 0.17 | |
| 0.65 | 0.178 | |
| 0.7 | 0.186 | |
| 0.75 | 0.194 | |
| 0.8 | 0.202 | |
| 0.85 | 0.211 | |
| 0.9 | 0.219 | |
| 0.95 | 0.227 | |
| 1 | 0.235 | |
| 1.05 | 0.243 | |
| 1.1 | 0.252 | |
| 1.15 | 0.26 | |
| 1.2 | 0.268 | |
| 1.25 | 0.276 | |
| 1.3 | 0.284 | |
| 1.35 | 0.293 | |
| 1.4 | 0.301 | |
| 1.45 | 0.309 | |
| 1.5 | 0.318 | |
| 1.55 | 0.329 | |
| 1.6 | 0.335 | |
| 1.65 | 0.343 | |
| 1.7 | 0.351 | |
| 1.75 | 0.359 | |
| 1.8 | 0.367 | |
| 1.85 | 0.375 | |
| 1.9 | 0.383 | |
| 1.95 | 0.391 | |
| 2 | 0.4 | |
| 2.05 | 0.408 | |
| 2.1 | 0.416 | |
| 2.15 | 0.424 | |
| 2.2 | 0.432 | |
| 2.25 | 0.44 | |
| 2.3 | 0.448 | |
| 2.35 | 0.457 | |
| 2.4 | 0.465 | |
| 2.45 | 0.473 | |
| 2.5 | 0.482 | |
| 2.55 | 0.489 | |
| 2.6 | 0.498 | |
| 2.65 | 0.506 | |
| 2.7 | 0.514 | |
| 2.75 | 0.522 | |
| 2.8 | 0.531 | |
| 2.85 | 0.539 | |
| 2.9 | 0.547 | |
| 2.95 | 0.555 | |
| 3 | 0.563 | |
| 3.05 | 0.571 | |
| 3.1 | 0.58 | |
| 3.15 | 0.588 | |
| 3.2 | 0.596 | |
| 3.25 | 0.604 | |
| 3.3 | 0.613 | |
| 3.35 | 0.621 | |
| 3.4 | 0.629 | |
| 3.45 | 0.637 | |
| 3.5 | 0.646 | |
| 3.55 | 0.654 | |
| 3.6 | 0.662 | |
| 3.65 | 0.67 | |
| 3.7 | 0.679 | |
| 3.75 | 0.687 | |
| 3.8 | 0.695 | |
| 3.85 | 0.703 | |
| 3.9 | 0.712 | |
| 3.95 | 0.721 | |
| 4 | 0.73 | |
| 4.05 | 0.738 | |
| 4.1 | 0.746 | |
| 4.15 | 0.755 | |
| 4.2 | 0.763 | |
| 4.25 | 0.772 | |
| 4.3 | 0.78 | |
| 4.35 | 0.788 | |
| 4.4 | 0.796 | |
| 4.45 | 0.805 | |
| 4.5 | 0.813 | |
| 4.55 | 0.821 | |
| 4.6 | 0.829 | |
| 4.65 | 0.837 | |
| 4.7 | 0.845 | |
| 4.75 | 0.854 | |
| 4.8 | 0.862 | |
| 4.85 | 0.871 | |
| 4.9 | 0.88 | |
| 4.95 | 0.889 | |
| 5 | 0.897 | |
| 5.05 | 0.906 | |
| 5.1 | 0.914 | |
| 5.15 | 0.925 | |
| 5.2 | 0.934 | |
| 5.25 | 0.942 | |
| 5.3 | 0.95 | |
| 5.35 | 0.958 | |
| 5.4 | 0.966 | |
| 5.45 | 0.974 | |
| 5.5 | 0.983 | |
| 5.55 | 0.991 | |
| 5.6 | 0.999 | |
| 5.65 | 1.007 | |
| 5.7 | 1.015 | |
| 5.75 | 1.023 | |
| 5.8 | 1.031 | |
| 5.85 | 1.037 | |
| 5.9 | 1.045 | |
| 5.95 | 1.053 | |
| 6 | 1.061 | |
| 6.05 | 1.07 | |
| 6.1 | 1.078 | |
| 6.15 | 1.086 | |
| 6.2 | 1.094 | |
| 6.25 | 1.102 | |
| 6.3 | 1.111 | |
| 6.35 | 1.119 | |
| 6.4 | 1.127 | |
| 6.45 | 1.135 | |
| 6.5 | 1.143 | |
| 6.55 | 1.152 | |
| 6.6 | 1.16 | |
| 6.65 | 1.168 | |
| 6.7 | 1.176 | |
| 6.75 | 1.185 | |
| 6.8 | 1.193 | |
| 6.85 | 1.201 | |
| 6.9 | 1.209 | |
| 6.95 | 1.218 | |
| 7 | 1.226 | |
| 7.05 | 1.234 | |
| 7.1 | 1.242 | |
| 7.15 | 1.25 | |
| 7.2 | 1.259 | |
| 7.25 | 1.267 | |
| 7.3 | 1.275 | |
| 7.35 | 1.283 | |
| 7.4 | 1.292 | |
| 7.45 | 1.3 | |
| 7.5 | 1.308 | |
| 7.55 | 1.316 | |
| 7.6 | 1.324 | |
| 7.65 | 1.333 | |
| 7.7 | 1.341 | |
| 7.75 | 1.349 | |
| 7.8 | 1.357 | |
| 7.85 | 1.366 | |
| 7.9 | 1.374 | |
| 7.95 | 1.382 | |
| 8 | 1.391 | |
| 8.05 | 1.399 | |
| 8.1 | 1.407 | |
| 8.15 | 1.416 | |
| 8.2 | 1.424 | |
| 8.25 | 1.432 | |
| 8.3 | 1.44 | |
| 8.35 | 1.448 | |
| 8.4 | 1.457 | |
| 8.45 | 1.465 | |
| 8.5 | 1.473 | |
| 8.55 | 1.481 | |
| 8.6 | 1.489 | |
| 8.65 | 1.498 | |
| 8.7 | 1.506 | |
| 8.75 | 1.514 | |
| 8.8 | 1.523 | |
| 8.85 | 1.531 | |
| 8.9 | 1.539 | |
| 8.95 | 1.547 | |
| 9 | 1.556 | |
| 9.05 | 1.564 | |
| 9.1 | 1.572 | |
| 9.15 | 1.58 | |
| 9.2 | 1.589 | |
| 9.25 | 1.597 | |
| 9.3 | 1.605 | |
| 9.35 | 1.614 | |
| 9.4 | 1.622 | |
| 9.45 | 1.63 | |
| 9.5 | 1.639 | |
| 9.55 | 1.647 | |
| 9.6 | 1.655 | |
| 9.65 | 1.663 | |
| 9.7 | 1.672 | |
| 9.75 | 1.68 | |
| 9.8 | 1.688 | |
| 9.85 | 1.696 | |
| 9.9 | 1.705 | |
| 9.95 | 1.713 | |
| 10 | 1.722 | |
| 10.05 | 1.729 | |
| 10.1 | 1.731 | |
| 10.15 | 1.728 | Cart Reverses Direction at the same speed |
| 10.2 | 1.723 | |
| 10.25 | 1.717 | |
| 10.3 | 1.709 | |
| 10.35 | 1.701 | |
| 10.4 | 1.693 | |
| 10.45 | 1.685 | |
| 10.5 | 1.677 | |
| 10.55 | 1.669 | |
| 10.6 | 1.66 | |
| 10.65 | 1.652 | |
| 10.7 | 1.644 | |
| 10.75 | 1.636 | |
| 10.8 | 1.628 | |
| 10.85 | 1.619 | |
| 10.9 | 1.611 | |
| 10.95 | 1.603 | |
| 11 | 1.595 | |
| 11.05 | 1.587 | |
| 11.1 | 1.578 | |
| 11.15 | 1.57 | |
| 11.2 | 1.562 | |
| 11.25 | 1.554 | |
| 11.3 | 1.546 | |
| 11.35 | 1.538 | |
| 11.4 | 1.529 | |
| 11.45 | 1.521 | |
| 11.5 | 1.513 | |
| 11.55 | 1.505 | |
| 11.6 | 1.497 | |
| 11.65 | 1.488 | |
| 11.7 | 1.48 | |
| 11.75 | 1.472 | |
| 11.8 | 1.464 | |
| 11.85 | 1.456 | |
| 11.9 | 1.448 | |
| 11.95 | 1.439 | |
| 12 | 1.431 | |
| 12.05 | 1.423 | |
| 12.1 | 1.415 | |
| 12.15 | 1.407 | |
| 12.2 | 1.398 | |
| 12.25 | 1.391 | |
| 12.3 | 1.384 | |
| 12.35 | 1.376 | |
| 12.4 | 1.368 | |
| 12.45 | 1.36 | |
| 12.5 | 1.356 | |
| 12.55 | 1.344 | |
| 12.6 | 1.34 | |
| 12.65 | 1.358 | |
| 12.7 | 1.325 | |
| 12.75 | 1.313 | |
| 12.8 | 1.312 | |
| 12.85 | 1.3 | |
| 12.9 | 1.291 | |
| 12.95 | 1.283 | |
| 13 | 1.272 | |
| 13.05 | 1.263 | |
| 13.1 | 1.255 | |
| 13.15 | 1.246 | |
| 13.2 | 1.236 | |
| 13.25 | 1.228 | |
| 13.3 | 1.219 | |
| 13.35 | 1.211 | |
| 13.4 | 1.203 | |
| 13.45 | 1.195 | |
| 13.5 | 1.186 | |
| 13.55 | 1.179 | |
| 13.6 | 1.171 | |
| 13.65 | 1.163 | |
| 13.7 | 1.155 | |
| 13.75 | 1.146 | |
| 13.8 | 1.138 | |
| 13.85 | 1.13 | |
| 13.9 | 1.121 | |
| 13.95 | 1.113 | |
| 14 | 1.105 | |
| 14.05 | 1.097 | |
| 14.1 | 1.089 | |
| 14.15 | 1.081 | |
| 14.2 | 1.073 | |
| 14.25 | 1.064 | |
| 14.3 | 1.056 | |
| 14.35 | 1.048 | |
| 14.4 | 1.04 | |
| 14.45 | 1.032 | |
| 14.5 | 1.024 | |
| 14.55 | 1.016 | |
| 14.6 | 1.008 | |
| 14.65 | 1 | |
| 14.7 | 0.991 | |
| 14.75 | 0.983 | |
| 14.8 | 0.975 | |
| 14.85 | 0.967 | |
| 14.9 | 0.959 | |
| 14.95 | 0.951 | |
| 15 | 0.943 | |
| 15.05 | 0.935 | |
| 15.1 | 0.932 | |
| 15.15 | 0.93 | The cart stops and remains at rest |
| 15.2 | 0.93 | |
| 15.25 | 0.93 | |
| 15.3 | 0.93 | |
| 15.35 | 0.93 | |
| 15.4 | 0.93 | |
| 15.45 | 0.93 | |
| 15.5 | 0.93 | |
| 15.55 | 0.93 | |
| 15.6 | 0.93 | |
| 15.65 | 0.93 | |
| 15.7 | 0.93 | |
| 15.75 | 0.93 | |
| 15.8 | 0.93 | |
| 15.85 | 0.93 | |
| 15.9 | 0.93 | |
| 15.95 | 0.93 | |
| 16 | 0.93 | |
| 16.05 | 0.93 | |
| 16.1 | 0.93 | |
| 16.15 | 0.93 | |
| 16.2 | 0.93 | |
| 16.25 | 0.93 | |
| 16.3 | 0.93 | |
| 16.35 | 0.93 | |
| 16.4 | 0.93 | |
| 16.45 | 0.93 | |
| 16.5 | 0.93 | |
| 16.55 | 0.93 | |
| 16.6 | 0.93 | |
| 16.65 | 0.93 | |
| 16.7 | 0.93 | |
| 16.75 | 0.93 | |
| 16.8 | 0.93 | |
| 16.85 | 0.93 | |
| 16.9 | 0.93 | |
| 16.95 | 0.93 | |
| 17 | 0.93 | |
| 17.05 | 0.93 | |
| 17.1 | 0.93 | |
| 17.15 | 0.93 | |
| 17.2 | 0.93 | |
| 17.25 | 0.93 | |
| 17.3 | 0.93 | |
| 17.35 | 0.93 | |
| 17.4 | 0.93 | |
| 17.45 | 0.93 | |
| 17.5 | 0.93 | |
| 17.55 | 0.93 | |
| 17.6 | 0.93 | |
| 17.65 | 0.93 | |
| 17.7 | 0.93 | |
| 17.75 | 0.93 | |
| 17.8 | 0.93 | |
| 17.85 | 0.93 | |
| 17.9 | 0.93 | |
| 17.95 | 0.93 | |
| 18 | 0.93 | |
| 18.05 | 0.93 | |
| 18.1 | 0.93 | |
| 18.15 | 0.93 | |
| 18.2 | 0.93 | |
| 18.25 | 0.93 | |
| 18.3 | 0.93 | |
| 18.35 | 0.93 | |
| 18.4 | 0.93 | |
| 18.45 | 0.93 | |
| 18.5 | 0.93 | |
| 18.55 | 0.93 | |
| 18.6 | 0.93 | |
| 18.65 | 0.93 | |
| 18.7 | 0.93 | |
| 18.75 | 0.93 | |
| 18.8 | 0.93 | |
| 18.85 | 0.93 | |
| 18.9 | 0.93 | |
| 18.95 | 0.93 | |
| 19 | 0.93 | |
| 19.05 | 0.93 | |
| 19.1 | 0.93 | |
| 19.15 | 0.93 | |
| 19.2 | 0.93 | |
| 19.25 | 0.93 | |
| 19.3 | 0.93 | |
| 19.35 | 0.93 | |
| 19.4 | 0.93 | |
| 19.45 | 0.93 | |
| 19.5 | 0.93 | |
| 19.55 | 0.93 | |
| 19.6 | 0.93 | |
| 19.65 | 0.93 | |
| 19.7 | 0.93 | |
| 19.75 | 0.93 | |
| 19.8 | 0.93 | |
| 19.85 | 0.93 | |
| 19.9 | 0.93 | |
| 19.95 | 0.93 | |
| 20 | 0.93 | |
| 20.05 | 0.93 | |
| 20.1 | 0.925 | The cart moves toward the sensor more quickly |
| 20.15 | 0.918 | |
| 20.2 | 0.908 | |
| 20.25 | 0.896 | |
| 20.3 | 0.884 | |
| 20.35 | 0.871 | |
| 20.4 | 0.858 | |
| 20.45 | 0.845 | |
| 20.5 | 0.832 | |
| 20.55 | 0.821 | |
| 20.6 | 0.809 | |
| 20.65 | 0.795 | |
| 20.7 | 0.781 | |
| 20.75 | 0.768 | |
| 20.8 | 0.755 | |
| 20.85 | 0.741 | |
| 20.9 | 0.728 | |
| 20.95 | 0.714 | |
| 21 | 0.7 | |
| 21.05 | 0.686 | |
| 21.1 | 0.672 | |
| 21.15 | 0.659 | |
| 21.2 | 0.645 | |
| 21.25 | 0.63 | |
| 21.3 | 0.616 | |
| 21.35 | 0.602 | |
| 21.4 | 0.589 | |
| 21.45 | 0.576 | |
| 21.5 | 0.561 | |
| 21.55 | 0.591 | |
| 21.6 | 0.538 | |
| 21.65 | 0.521 | |
| 21.7 | 0.506 | |
| 21.75 | 0.492 | |
| 21.8 | 0.479 | |
| 21.85 | 0.465 | |
| 21.9 | 0.451 | |
| 21.95 | 0.437 | |
| 22 | 0.422 | |
| 22.05 | 0.412 | |
| 22.1 | 0.398 | |
| 22.15 | 0.385 | |
| 22.2 | 0.372 | |
| 22.25 | 0.358 | |
| 22.3 | 0.345 | |
| 22.35 | 0.332 | |
| 22.4 | 0.318 | |
| 22.45 | 0.305 | |
| 22.5 | 0.29 | |
| 22.55 | 0.276 | |
| 22.6 | 0.261 | |
| 22.65 | 0.248 | |
| 22.7 | 0.234 | |
| 22.75 | 0.221 | |
| 22.8 | 0.207 | |
| 22.85 | 0.193 |
x vs. t
| Time (s) Auto | Position (m) Part 1: Motion at constant velocity | |
| 0 | 0.131 | The cart begins at rest |
| 0.05 | 0.132 | |
| 0.1 | 0.133 | |
| 0.15 | 0.133 | |
| 0.2 | 0.133 | |
| 0.25 | 0.133 | |
| 0.3 | 0.133 | |
| 0.35 | 0.133 | |
| 0.4 | 0.133 | |
| 0.45 | 0.133 | |
| 0.5 | 0.133 | |
| 0.55 | 0.133 | |
| 0.6 | 0.133 | |
| 0.65 | 0.133 | |
| 0.7 | 0.133 | |
| 0.75 | 0.133 | |
| 0.8 | 0.133 | |
| 0.85 | 0.133 | |
| 0.9 | 0.133 | |
| 0.95 | 0.133 | |
| 1 | 0.133 | |
| 1.05 | 0.133 | |
| 1.1 | 0.133 | |
| 1.15 | 0.133 | |
| 1.2 | 0.133 | |
| 1.25 | 0.133 | |
| 1.3 | 0.133 | |
| 1.35 | 0.133 | |
| 1.4 | 0.133 | |
| 1.45 | 0.133 | |
| 1.5 | 0.133 | |
| 1.55 | 0.133 | |
| 1.6 | 0.133 | |
| 1.65 | 0.133 | |
| 1.7 | 0.133 | |
| 1.75 | 0.133 | |
| 1.8 | 0.133 | |
| 1.85 | 0.133 | |
| 1.9 | 0.133 | |
| 1.95 | 0.133 | |
| 2 | 0.133 | |
| 2.05 | 0.133 | |
| 2.1 | 0.133 | |
| 2.15 | 0.133 | |
| 2.2 | 0.133 | |
| 2.25 | 0.133 | |
| 2.3 | 0.133 | |
| 2.35 | 0.133 | |
| 2.4 | 0.133 | |
| 2.45 | 0.133 | |
| 2.5 | 0.133 | |
| 2.55 | 0.133 | |
| 2.6 | 0.133 | |
| 2.65 | 0.133 | |
| 2.7 | 0.133 | |
| 2.75 | 0.133 | |
| 2.8 | 0.133 | |
| 2.85 | 0.133 | |
| 2.9 | 0.133 | |
| 2.95 | 0.133 | |
| 3 | 0.133 | |
| 3.05 | 0.13 | |
| 3.1 | 0.129 | |
| 3.15 | 0.133 | |
| 3.2 | 0.136 | |
| 3.25 | 0.138 | Motion Begins |
| 3.3 | 0.138 | |
| 3.35 | 0.142 | |
| 3.4 | 0.143 | |
| 3.45 | 0.142 | |
| 3.5 | 0.141 | |
| 3.55 | 0.14 | |
| 3.6 | 0.137 | |
| 3.65 | 0.139 | |
| 3.7 | 0.144 | |
| 3.75 | 0.148 | |
| 3.8 | 0.154 | |
| 3.85 | 0.161 | |
| 3.9 | 0.166 | |
| 3.95 | 0.171 | |
| 4 | 0.177 | |
| 4.05 | 0.182 | |
| 4.1 | 0.188 | |
| 4.15 | 0.194 | |
| 4.2 | 0.2 | |
| 4.25 | 0.206 | |
| 4.3 | 0.212 | |
| 4.35 | 0.218 | |
| 4.4 | 0.224 | |
| 4.45 | 0.23 | |
| 4.5 | 0.236 | |
| 4.55 | 0.241 | |
| 4.6 | 0.247 | |
| 4.65 | 0.253 | |
| 4.7 | 0.259 | |
| 4.75 | 0.265 | |
| 4.8 | 0.271 | |
| 4.85 | 0.277 | |
| 4.9 | 0.283 | |
| 4.95 | 0.289 | |
| 5 | 0.295 | |
| 5.05 | 0.301 | |
| 5.1 | 0.307 | |
| 5.15 | 0.315 | |
| 5.2 | 0.32 | |
| 5.25 | 0.325 | |
| 5.3 | 0.331 | |
| 5.35 | 0.336 | |
| 5.4 | 0.342 | |
| 5.45 | 0.348 | |
| 5.5 | 0.354 | |
| 5.55 | 0.36 | |
| 5.6 | 0.366 | |
| 5.65 | 0.372 | |
| 5.7 | 0.378 | |
| 5.75 | 0.383 | |
| 5.8 | 0.389 | |
| 5.85 | 0.396 | |
| 5.9 | 0.401 | |
| 5.95 | 0.407 | |
| 6 | 0.412 | |
| 6.05 | 0.419 | |
| 6.1 | 0.428 | The cart increases velocity |
| 6.15 | 0.441 | |
| 6.2 | 0.454 | |
| 6.25 | 0.467 | |
| 6.3 | 0.481 | |
| 6.35 | 0.494 | |
| 6.4 | 0.509 | |
| 6.45 | 0.522 | |
| 6.5 | 0.537 | |
| 6.55 | 0.551 | |
| 6.6 | 0.565 | |
| 6.65 | 0.579 | |
| 6.7 | 0.593 | |
| 6.75 | 0.607 | |
| 6.8 | 0.621 | |
| 6.85 | 0.635 | |
| 6.9 | 0.649 | |
| 6.95 | 0.663 | |
| 7 | 0.677 | |
| 7.05 | 0.692 | |
| 7.1 | 0.706 | |
| 7.15 | 0.721 | |
| 7.2 | 0.735 | |
| 7.25 | 0.75 | |
| 7.3 | 0.764 | |
| 7.35 | 0.778 | |
| 7.4 | 0.792 | |
| 7.45 | 0.808 | |
| 7.5 | 0.821 | |
| 7.55 | 0.835 | |
| 7.6 | 0.849 | |
| 7.65 | 0.864 | |
| 7.7 | 0.879 | |
| 7.75 | 0.894 | |
| 7.8 | 0.91 | |
| 7.85 | 0.925 | |
| 7.9 | 0.939 | |
| 7.95 | 0.953 | |
| 8 | 0.967 | |
| 8.05 | 0.981 | |
| 8.1 | 0.995 | |
| 8.15 | 1.008 | |
| 8.2 | 1.02 | |
| 8.25 | 1.034 | |
| 8.3 | 1.047 | |
| 8.35 | 1.061 | |
| 8.4 | 1.075 | |
| 8.45 | 1.09 | |
| 8.5 | 1.103 | |
| 8.55 | 1.117 | |
| 8.6 | 1.131 | |
| 8.65 | 1.145 | |
| 8.7 | 1.159 | |
| 8.75 | 1.173 | |
| 8.8 | 1.187 | |
| 8.85 | 1.2 | |
| 8.9 | 1.214 | |
| 8.95 | 1.228 | |
| 9 | 1.242 | |
| 9.05 | 1.255 | |
| 9.1 | 1.27 | |
| 9.15 | 1.283 | |
| 9.2 | 1.297 | |
| 9.25 | 1.311 | |
| 9.3 | 1.324 | |
| 9.35 | 1.338 | |
| 9.4 | 1.352 | |
| 9.45 | 1.366 | |
| 9.5 | 1.38 | |
| 9.55 | 1.393 | |
| 9.6 | 1.407 | |
| 9.65 | 1.421 | |
| 9.7 | 1.435 | |
| 9.75 | 1.448 | |
| 9.8 | 1.462 |
Motion w Changing Velocity
| Time (s) Auto | Position (m) Part 2: Away | Time (s) Auto | Position (m) Part 2: Towards | ||
| 0 | 0.272 | 0 | 0.928 | ||
| 0.05 | 0.273 | 0.05 | 0.928 | ||
| 0.1 | 0.275 | 0.1 | 0.927 | ||
| 0.15 | 0.278 | 0.15 | 0.924 | ||
| 0.2 | 0.281 | 0.2 | 0.922 | ||
| 0.25 | 0.284 | 0.25 | 0.918 | ||
| 0.3 | 0.287 | 0.3 | 0.916 | ||
| 0.35 | 0.29 | 0.35 | 0.912 | ||
| 0.4 | 0.294 | 0.4 | 0.909 | ||
| 0.45 | 0.298 | 0.45 | 0.905 | ||
| 0.5 | 0.301 | 0.5 | 0.902 | ||
| 0.55 | 0.305 | 0.55 | 0.898 | ||
| 0.6 | 0.31 | 0.6 | 0.895 | ||
| 0.65 | 0.314 | 0.65 | 0.889 | ||
| 0.7 | 0.317 | 0.7 | 0.885 | ||
| 0.75 | 0.321 | 0.75 | 0.881 | ||
| 0.8 | 0.325 | 0.8 | 0.877 | ||
| 0.85 | 0.329 | 0.85 | 0.873 | ||
| 0.9 | 0.333 | 0.9 | 0.868 | ||
| 0.95 | 0.337 | 0.95 | 0.864 | ||
| 1 | 0.342 | 1 | 0.86 | ||
| 1.05 | 0.346 | 1.05 | 0.855 | ||
| 1.1 | 0.35 | 1.1 | 0.85 | ||
| 1.15 | 0.355 | 1.15 | 0.845 | ||
| 1.2 | 0.359 | 1.2 | 0.841 | ||
| 1.25 | 0.364 | 1.25 | 0.836 | ||
| 1.3 | 0.369 | 1.3 | 0.831 | ||
| 1.35 | 0.373 | 1.35 | 0.827 | ||
| 1.4 | 0.378 | 1.4 | 0.824 | ||
| 1.45 | 0.383 | 1.45 | 0.819 | ||
| 1.5 | 0.388 | 1.5 | 0.814 | ||
| 1.55 | 0.394 | 1.55 | 0.809 | ||
| 1.6 | 0.398 | 1.6 | 0.803 | ||
| 1.65 | 0.403 | 1.65 | 0.798 | ||
| 1.7 | 0.408 | 1.7 | 0.793 | ||
| 1.75 | 0.413 | 1.75 | 0.787 | ||
| 1.8 | 0.418 | 1.8 | 0.783 | ||
| 1.85 | 0.424 | 1.85 | 0.777 | ||
| 1.9 | 0.429 | 1.9 | 0.771 | ||
| 1.95 | 0.435 | 1.95 | 0.766 | ||
| 2 | 0.441 | 2 | 0.76 | ||
| 2.05 | 0.446 | 2.05 | 0.755 | ||
| 2.1 | 0.452 | 2.1 | 0.749 | ||
| 2.15 | 0.458 | 2.15 | 0.743 | ||
| 2.2 | 0.464 | 2.2 | 0.737 | ||
| 2.25 | 0.47 | 2.25 | 0.732 | ||
| 2.3 | 0.476 | 2.3 | 0.725 | ||
| 2.35 | 0.482 | 2.35 | 0.719 | ||
| 2.4 | 0.488 | 2.4 | 0.713 | ||
| 2.45 | 0.494 | 2.45 | 0.707 | ||
| 2.5 | 0.501 | 2.5 | 0.701 | ||
| 2.55 | 0.507 | 2.55 | 0.695 | ||
| 2.6 | 0.513 | 2.6 | 0.689 | ||
| 2.65 | 0.52 | 2.65 | 0.682 | ||
| 2.7 | 0.526 | 2.7 | 0.676 | ||
| 2.75 | 0.533 | 2.75 | 0.668 | ||
| 2.8 | 0.54 | 2.8 | 0.662 | ||
| 2.85 | 0.547 | 2.85 | 0.655 | ||
| 2.9 | 0.553 | 2.9 | 0.648 | ||
| 2.95 | 0.56 | 2.95 | 0.641 | ||
| 3 | 0.567 | 3 | 0.634 | ||
| 3.05 | 0.574 | 3.05 | 0.627 | ||
| 3.1 | 0.581 | 3.1 | 0.62 | ||
| 3.15 | 0.589 | 3.15 | 0.613 | ||
| 3.2 | 0.596 | 3.2 | 0.606 | ||
| 3.25 | 0.603 | 3.25 | 0.599 | ||
| 3.3 | 0.611 | 3.3 | 0.592 | ||
| 3.35 | 0.618 | 3.35 | 0.584 | ||
| 3.4 | 0.626 | 3.4 | 0.577 | ||
| 3.45 | 0.633 | 3.45 | 0.57 | ||
| 3.5 | 0.641 | 3.5 | 0.562 | ||
| 3.55 | 0.648 | 3.55 | 0.554 | ||
| 3.6 | 0.656 | 3.6 | 0.547 | ||
| 3.65 | 0.664 | 3.65 | 0.539 | ||
| 3.7 | 0.672 | 3.7 | 0.531 | ||
| 3.75 | 0.68 | 3.75 | 0.523 | ||
| 3.8 | 0.689 | 3.8 | 0.516 | ||
| 3.85 | 0.697 | 3.85 | 0.508 | ||
| 3.9 | 0.706 | 3.9 | 0.5 | ||
| 3.95 | 0.715 | 3.95 | 0.493 | ||
| 4 | 0.723 | 4 | 0.485 | ||
| 4.05 | 0.732 | 4.05 | 0.476 | ||
| 4.1 | 0.74 | 4.1 | 0.468 | ||
| 4.15 | 0.749 | 4.15 | 0.459 | ||
| 4.2 | 0.758 | 4.2 | 0.451 | ||
| 4.25 | 0.767 | 4.25 | 0.441 | ||
| 4.3 | 0.776 | 4.3 | 0.432 | ||
| 4.35 | 0.785 | 4.35 | 0.423 | ||
| 4.4 | 0.794 | 4.4 | 0.414 | ||
| 4.45 | 0.803 | 4.45 | 0.408 | ||
| 4.5 | 0.812 | 4.5 | 0.4 | ||
| 4.55 | 0.821 | 4.55 | 0.391 | ||
| 4.6 | 0.829 | 4.6 | 0.382 | ||
| 4.65 | 0.839 | 4.65 | 0.374 | ||
| 4.7 | 0.849 | 4.7 | 0.365 | ||
| 4.75 | 0.858 | 4.75 | 0.356 | ||
| 4.8 | 0.869 | 4.8 | 0.347 | ||
| 4.85 | 0.879 | 4.85 | 0.337 |
Exploring Velocity Time Graphs
| Time (s) Auto | Position (m) Part 1: Motion at constant velocity | Velocity (m/s) Part 1: Motion at constant velocity | |
| 0 | 0.131 | Cart begins at rest | |
| 0.05 | 0.132 | 0.02 | |
| 0.1 | 0.133 | 0.01 | |
| 0.15 | 0.133 | 0 | |
| 0.2 | 1.33E-01 | 0 | |
| 0.25 | 1.33E-01 | 4.43E-06 | |
| 0.3 | 1.33E-01 | -5.73E-04 | |
| 0.35 | 0.133 | -5.78E-04 | |
| 0.4 | 0.133 | 0 | |
| 0.45 | 1.33E-01 | 0 | |
| 0.5 | 1.33E-01 | -4.43E-06 | |
| 0.55 | 0.133 | 5.78E-04 | |
| 0.6 | 1.33E-01 | 0 | |
| 0.65 | 1.33E-01 | 4.43E-06 | |
| 0.7 | 1.33E-01 | -5.73E-04 | |
| 0.75 | 1.33E-01 | -5.73E-04 | |
| 0.8 | 1.33E-01 | -5.78E-04 | |
| 0.85 | 1.33E-01 | -4.42E-06 | |
| 0.9 | 1.33E-01 | 5.73E-04 | |
| 0.95 | 1.33E-01 | 5.73E-04 | |
| 1 | 1.33E-01 | 5.73E-04 | |
| 1.05 | 1.33E-01 | 5.73E-04 | |
| 1.1 | 0.133 | 5.78E-04 | |
| 1.15 | 0.133 | 0 | |
| 1.2 | 0.133 | 0 | |
| 1.25 | 0.133 | 0 | |
| 1.3 | 0.133 | 0 | |
| 1.35 | 0.133 | 0 | |
| 1.4 | 0.133 | 0 | |
| 1.45 | 0.133 | 0 | |
| 1.5 | 1.33E-01 | 0 | |
| 1.55 | 1.33E-01 | 4.43E-06 | |
| 1.6 | 1.33E-01 | -5.73E-04 | |
| 1.65 | 0.133 | -5.78E-04 | |
| 1.7 | 0.133 | 0 | |
| 1.75 | 1.33E-01 | 0 | |
| 1.8 | 1.33E-01 | 4.43E-06 | |
| 1.85 | 0.133 | -5.78E-04 | |
| 1.9 | 0.133 | 0 | |
| 1.95 | 1.33E-01 | 0 | |
| 2 | 1.33E-01 | -4.43E-06 | |
| 2.05 | 1.33E-01 | 5.73E-04 | |
| 2.1 | 1.33E-01 | 5.73E-04 | |
| 2.15 | 0.133 | 5.78E-04 | |
| 2.2 | 0.133 | 0 | |
| 2.25 | 0.133 | 0 | |
| 2.3 | 0.133 | 0 | |
| 2.35 | 0.133 | 0 | |
| 2.4 | 0.133 | 0 | |
| 2.45 | 0.133 | 0 | |
| 2.5 | 0.133 | 0 | |
| 2.55 | 0.133 | 0 | |
| 2.6 | 1.33E-01 | 0 | |
| 2.65 | 1.33E-01 | 4.43E-06 | |
| 2.7 | 0.133 | -5.69E-04 | |
| 2.75 | 1.33E-01 | 0 | |
| 2.8 | 1.33E-01 | -5.78E-04 | |
| 2.85 | 1.33E-01 | -4.42E-06 | |
| 2.9 | 0.133 | 6.49E-04 | |
| 2.95 | 0.133 | -0.01 | |
| 3 | 0.133 | -0.02 | |
| 3.05 | 0.13 | -0.01 | |
| 3.1 | 0.129 | 0.02 | Cart begins moving at a constant velocity |
| 3.15 | 0.133 | 0.05 | |
| 3.2 | 0.136 | 0.04 | |
| 3.25 | 0.138 | 0.03 | |
| 3.3 | 0.138 | 0.03 | |
| 3.35 | 0.142 | 0.03 | |
| 3.4 | 0.143 | 0.01 | |
| 3.45 | 0.142 | -0.01 | |
| 3.5 | 0.141 | -0.03 | |
| 3.55 | 0.14 | -0.02 | |
| 3.6 | 0.137 | 0.01 | |
| 3.65 | 0.139 | 0.05 | |
| 3.7 | 0.144 | 0.09 | |
| 3.75 | 0.148 | 0.11 | |
| 3.8 | 0.154 | 0.11 | |
| 3.85 | 0.161 | 0.11 | |
| 3.9 | 0.166 | 0.11 | |
| 3.95 | 0.171 | 0.11 | |
| 4 | 0.177 | 0.11 | |
| 4.05 | 0.182 | 0.12 | |
| 4.1 | 0.188 | 0.12 | |
| 4.15 | 0.194 | 0.12 | |
| 4.2 | 0.2 | 0.12 | |
| 4.25 | 0.206 | 0.12 | |
| 4.3 | 0.212 | 0.12 | |
| 4.35 | 0.218 | 0.12 | |
| 4.4 | 0.224 | 0.12 | |
| 4.45 | 0.23 | 0.12 | |
| 4.5 | 0.236 | 0.12 | |
| 4.55 | 0.241 | 0.12 | |
| 4.6 | 0.247 | 0.12 | |
| 4.65 | 0.253 | 0.12 | |
| 4.7 | 0.259 | 0.12 | |
| 4.75 | 0.265 | 0.12 | |
| 4.8 | 0.271 | 0.12 | |
| 4.85 | 0.277 | 0.12 | |
| 4.9 | 0.283 | 0.12 | |
| 4.95 | 0.289 | 0.12 | |
| 5 | 0.295 | 0.12 | |
| 5.05 | 0.301 | 0.13 | |
| 5.1 | 0.307 | 0.13 | |
| 5.15 | 0.315 | 0.12 | |
| 5.2 | 0.32 | 0.11 | |
| 5.25 | 0.325 | 0.11 | |
| 5.3 | 0.331 | 0.11 | |
| 5.35 | 0.336 | 0.12 | |
| 5.4 | 0.342 | 0.12 | |
| 5.45 | 0.348 | 0.12 | |
| 5.5 | 0.354 | 0.12 | |
| 5.55 | 0.36 | 0.12 | |
| 5.6 | 0.366 | 0.12 | |
| 5.65 | 0.372 | 0.12 | |
| 5.7 | 0.378 | 0.12 | |
| 5.75 | 0.383 | 0.12 | |
| 5.8 | 0.389 | 0.12 | |
| 5.85 | 0.396 | 0.12 | |
| 5.9 | 0.401 | 0.11 | |
| 5.95 | 0.407 | 0.11 | |
| 6 | 0.412 | 0.13 | |
| 6.05 | 0.419 | 0.17 | |
| 6.1 | 0.428 | 0.21 | |
| 6.15 | 0.441 | 0.24 | Cart increases velocity. This velocity remains constant until the end of the video. |
| 6.2 | 0.454 | 0.26 | |
| 6.25 | 0.467 | 0.27 | |
| 6.3 | 0.481 | 0.27 | |
| 6.35 | 0.494 | 0.28 | |
| 6.4 | 0.509 | 0.28 | |
| 6.45 | 0.522 | 0.28 | |
| 6.5 | 0.537 | 0.28 | |
| 6.55 | 0.551 | 0.28 | |
| 6.6 | 0.565 | 0.28 | |
| 6.65 | 0.579 | 0.28 | |
| 6.7 | 0.593 | 0.28 | |
| 6.75 | 0.607 | 0.28 | |
| 6.8 | 0.621 | 0.28 | |
| 6.85 | 0.635 | 0.28 | |
| 6.9 | 0.649 | 0.28 | |
| 6.95 | 0.663 | 0.28 | |
| 7 | 0.677 | 0.29 | |
| 7.05 | 0.692 | 0.29 | |
| 7.1 | 0.706 | 0.29 | |
| 7.15 | 0.721 | 0.29 | |
| 7.2 | 0.735 | 0.29 | |
| 7.25 | 0.75 | 0.29 | |
| 7.3 | 0.764 | 0.29 | |
| 7.35 | 0.778 | 0.29 | |
| 7.4 | 0.792 | 0.29 | |
| 7.45 | 0.808 | 0.28 | |
| 7.5 | 0.821 | 0.28 | |
| 7.55 | 0.835 | 0.28 | |
| 7.6 | 0.849 | 0.29 | |
| 7.65 | 0.864 | 0.3 | |
| 7.7 | 0.879 | 0.3 | |
| 7.75 | 0.894 | 0.31 | |
| 7.8 | 0.91 | 0.3 | |
| 7.85 | 0.925 | 0.29 | |
| 7.9 | 0.939 | 0.28 | |
| 7.95 | 0.953 | 0.28 | |
| 8 | 0.967 | 0.28 | |
| 8.05 | 0.981 | 0.28 | |
| 8.1 | 0.995 | 0.27 | |
| 8.15 | 1.008 | 0.26 | |
| 8.2 | 1.02 | 0.26 | |
| 8.25 | 1.034 | 0.27 | |
| 8.3 | 1.047 | 0.28 | |
| 8.35 | 1.061 | 0.28 | |
| 8.4 | 1.075 | 0.28 | |
| 8.45 | 1.09 | 0.28 | |
| 8.5 | 1.103 | 0.28 | |
| 8.55 | 1.117 | 0.28 | |
| 8.6 | 1.131 | 0.28 | |
| 8.65 | 1.145 | 0.28 | |
| 8.7 | 1.159 | 0.28 | |
| 8.75 | 1.173 | 0.28 | |
| 8.8 | 1.187 | 0.28 | |
| 8.85 | 1.2 | 0.28 | |
| 8.9 | 1.214 | 0.28 | |
| 8.95 | 1.228 | 0.28 | |
| 9 | 1.242 | 0.28 | |
| 9.05 | 1.255 | 0.27 | |
| 9.1 | 1.27 | 0.27 | |
| 9.15 | 1.283 | 0.28 | |
| 9.2 | 1.297 | 0.28 | |
| 9.25 | 1.311 | 0.28 | |
| 9.3 | 1.324 | 0.28 | |
| 9.35 | 1.338 | 0.28 | |
| 9.4 | 1.352 | 0.28 | |
| 9.45 | 1.366 | 0.28 | |
| 9.5 | 1.38 | 0.28 | |
| 9.55 | 1.393 | 0.27 | |
| 9.6 | 1.407 | 0.27 | |
| 9.65 | 1.421 | 0.28 | |
| 9.7 | 1.435 | 0.28 | |
| 9.75 | 1.448 | 0.27 | |
| 9.8 | 1.462 | ||
Velocity Matching
| Time (s) Auto | Velocity (m/s) |
| 0.05 | -6.92E-03 |
| 0.1 | -2.88E-03 |
| 0.15 | -5.78E-04 |
| 0.2 | 0.00E+00 |
| 0.25 | 0.00E+00 |
| 0.3 | 0.00E+00 |
| 0.35 | 0.00E+00 |
| 0.4 | 0.00E+00 |
| 0.45 | 0.00E+00 |
| 0.5 | 0.00E+00 |
| 0.55 | 0.00E+00 |
| 0.6 | 0.00E+00 |
| 0.65 | 0.00E+00 |
| 0.7 | 0.00E+00 |
| 0.75 | 0.00E+00 |
| 0.8 | 0.00E+00 |
| 0.85 | -4.39E-06 |
| 0.9 | 5.69E-04 |
| 0.95 | 1.15E-03 |
| 1 | 1.15E-03 |
| 1.05 | 5.78E-04 |
| 1.1 | 4.40E-06 |
| 1.15 | -5.69E-04 |
| 1.2 | -1.15E-03 |
| 1.25 | -1.15E-03 |
| 1.3 | -5.78E-04 |
| 1.35 | 0.00E+00 |
| 1.4 | 0.00E+00 |
| 1.45 | 0.00E+00 |
| 1.5 | 0.00E+00 |
| 1.55 | 0.00E+00 |
| 1.6 | 0.00E+00 |
| 1.65 | 0.00E+00 |
| 1.7 | 0.00E+00 |
| 1.75 | 0.00E+00 |
| 1.8 | 0.00E+00 |
| 1.85 | 0.00E+00 |
| 1.9 | -1.32E-05 |
| 1.95 | 1.64E-03 |
| 2 | 1.17E-02 |
| 2.05 | 4.93E-02 |
| 2.1 | 1.16E-01 |
| 2.15 | 1.89E-01 |
| 2.2 | 2.43E-01 |
| 2.25 | 2.69E-01 |
| 2.3 | 2.83E-01 |
| 2.35 | 2.92E-01 |
| 2.4 | 2.96E-01 |
| 2.45 | 2.98E-01 |
| 2.5 | 3.00E-01 |
| 2.55 | 3.02E-01 |
| 2.6 | 3.03E-01 |
| 2.65 | 3.13E-01 |
| 2.7 | 3.19E-01 |
| 2.75 | 3.11E-01 |
| 2.8 | 2.98E-01 |
| 2.85 | 2.92E-01 |
| 2.9 | 2.98E-01 |
| 2.95 | 3.01E-01 |
| 3 | 3.00E-01 |
| 3.05 | 3.00E-01 |
| 3.1 | 3.00E-01 |
| 3.15 | 3.02E-01 |
| 3.2 | 3.02E-01 |
| 3.25 | 3.02E-01 |
| 3.3 | 3.02E-01 |
| 3.35 | 3.02E-01 |
| 3.4 | 3.03E-01 |
| 3.45 | 3.02E-01 |
| 3.5 | 3.02E-01 |
| 3.55 | 3.03E-01 |
| 3.6 | 3.04E-01 |
| 3.65 | 3.04E-01 |
| 3.7 | 3.05E-01 |
| 3.75 | 3.05E-01 |
| 3.8 | 3.06E-01 |
| 3.85 | 3.06E-01 |
| 3.9 | 3.07E-01 |
| 3.95 | 3.13E-01 |
| 4 | 3.17E-01 |
| 4.05 | 3.18E-01 |
| 4.1 | 3.13E-01 |
| 4.15 | 3.10E-01 |
| 4.2 | 3.09E-01 |
| 4.25 | 3.12E-01 |
| 4.3 | 3.11E-01 |
| 4.35 | 3.04E-01 |
| 4.4 | 2.97E-01 |
| 4.45 | 3.01E-01 |
| 4.5 | 3.13E-01 |
| 4.55 | 3.16E-01 |
| 4.6 | 3.19E-01 |
| 4.65 | 3.22E-01 |
| 4.7 | 3.19E-01 |
| 4.75 | 3.08E-01 |
| 4.8 | 2.97E-01 |
| 4.85 | 2.97E-01 |
| 4.9 | 2.98E-01 |
| 4.95 | 2.89E-01 |
| 5 | 2.58E-01 |
| 5.05 | 1.99E-01 |
| 5.1 | 1.26E-01 |
| 5.15 | 6.48E-02 |
| 5.2 | 2.51E-02 |
| 5.25 | 7.29E-03 |
| 5.3 | 3.44E-05 |
| 5.35 | -6.08E-04 |
| 5.4 | 0.00E+00 |
| 5.45 | -3.44E-05 |
| 5.5 | 5.73E-04 |
| 5.55 | 6.08E-04 |
| 5.6 | 0.00E+00 |
| 5.65 | 3.44E-05 |
| 5.7 | -5.73E-04 |
| 5.75 | -5.73E-04 |
| 5.8 | -6.08E-04 |
| 5.85 | -3.44E-05 |
| 5.9 | 6.08E-04 |
| 5.95 | 0.00E+00 |
| 6 | -3.44E-05 |
| 6.05 | 6.08E-04 |
| 6.1 | 2.57E-08 |
| 6.15 | 1.86E-08 |
| 6.2 | 3.44E-05 |
| 6.25 | -5.73E-04 |
| 6.3 | -5.73E-04 |
| 6.35 | -6.08E-04 |
| 6.4 | 3.44E-05 |
| 6.45 | -5.73E-04 |
| 6.5 | -6.42E-04 |
| 6.55 | 5.39E-04 |
| 6.6 | 1.22E-03 |
| 6.65 | 3.44E-05 |
| 6.7 | -5.73E-04 |
| 6.75 | -6.08E-04 |
| 6.8 | 0.00E+00 |
| 6.85 | 0.00E+00 |
| 6.9 | 1.38E-04 |
| 6.95 | -1.12E-03 |
| 7 | -1.95E-02 |
| 7.05 | -5.80E-02 |
| 7.1 | -1.06E-01 |
| 7.15 | -1.43E-01 |
| 7.2 | -1.57E-01 |
| 7.25 | -1.61E-01 |
| 7.3 | -1.66E-01 |
| 7.35 | -1.75E-01 |
| 7.4 | -1.82E-01 |
| 7.45 | -1.85E-01 |
| 7.5 | -1.87E-01 |
| 7.55 | -1.90E-01 |
| 7.6 | -1.90E-01 |
| 7.65 | -1.92E-01 |
| 7.7 | -1.92E-01 |
| 7.75 | -1.93E-01 |
| 7.8 | -2.02E-01 |
| 7.85 | -2.11E-01 |
| 7.9 | -2.11E-01 |
| 7.95 | -2.02E-01 |
| 8 | -1.95E-01 |
| 8.05 | -1.93E-01 |
| 8.1 | -1.90E-01 |
| 8.15 | -1.85E-01 |
| 8.2 | -1.82E-01 |
| 8.25 | -1.85E-01 |
| 8.3 | -1.90E-01 |
| 8.35 | -1.93E-01 |
| 8.4 | -1.93E-01 |
| 8.45 | -1.92E-01 |
| 8.5 | -1.92E-01 |
| 8.55 | -1.93E-01 |
| 8.6 | -1.95E-01 |
| 8.65 | -1.96E-01 |
| 8.7 | -1.95E-01 |
| 8.75 | -1.93E-01 |
| 8.8 | -1.92E-01 |
| 8.85 | -1.92E-01 |
| 8.9 | -1.92E-01 |
| 8.95 | -1.90E-01 |
| 9 | -1.89E-01 |
| 9.05 | -1.89E-01 |
| 9.1 | -1.88E-01 |
| 9.15 | -1.86E-01 |
| 9.2 | -1.87E-01 |
| 9.25 | -1.90E-01 |
| 9.3 | -1.91E-01 |
| 9.35 | -1.90E-01 |
| 9.4 | -1.88E-01 |
| 9.45 | -1.81E-01 |
| 9.5 | -4.15E-02 |
| 9.55 | 9.42E-02 |
| 9.6 | -2.15E-02 |
| 9.65 | -3.08E-01 |
| 9.7 | -4.80E-01 |
| 9.75 | -3.80E-01 |
| 9.8 | -2.14E-01 |
Time of Flight
| Height (m) | Time of Flight (s) |
| 1 | 4.75E-01 |
| 0.9 | 4.51E-01 |
| 0.7 | 4.11E-01 |
| 0.6 | 3.88E-01 |
| 0.5 | 3.52E-01 |