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| 183_notes:iterativepredict [2021/02/04 23:35] – [Applying Iterative Prediction] stumptyl | 183_notes:iterativepredict [2021/02/15 02:46] (current) – [Applying Iterative Prediction] stumptyl | ||
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| To reiterate, this method is not limited to non-constant forces and can be used to predict the motion in situations where a constant force model can be applied. A visual representation of such an iterative prediction over 3 steps is shown below. In each step, the momentum changes and, thus, the new momentum is calculated. This new momentum is used to determine the new location of the ball. The process is executed again with an updated prediction. | To reiterate, this method is not limited to non-constant forces and can be used to predict the motion in situations where a constant force model can be applied. A visual representation of such an iterative prediction over 3 steps is shown below. In each step, the momentum changes and, thus, the new momentum is calculated. This new momentum is used to determine the new location of the ball. The process is executed again with an updated prediction. | ||
| - | {{ 183_notes:mi3e_02-019.png?400 }} | + | {{ 183_notes:weektwo_iterative.png?400 }} |
| If you were to connect the straight lines in this picture, you would see a trajectory that looks more like moving through a curved trajectory. //The time step here is quite long for the motion, but using a shorter time step, the line segments are shorter and more closely produce a curved trajectory. | If you were to connect the straight lines in this picture, you would see a trajectory that looks more like moving through a curved trajectory. //The time step here is quite long for the motion, but using a shorter time step, the line segments are shorter and more closely produce a curved trajectory. | ||