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183_notes:graphing_motion [2021/09/06 13:51] – dmcpadden | 183_notes:graphing_motion [2021/09/06 13:59] – dmcpadden | ||
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Sometimes, you will want to graph the velocity of the object as a function of time. Again, you have to graph a single component at a time. So, let's go back to the example of a car moving with constant velocity. In that case, we'd expect the velocity vs time graph to be a flat line taking on the value of the slope. In the graph below, we find that is the case. | Sometimes, you will want to graph the velocity of the object as a function of time. Again, you have to graph a single component at a time. So, let's go back to the example of a car moving with constant velocity. In that case, we'd expect the velocity vs time graph to be a flat line taking on the value of the slope. In the graph below, we find that is the case. | ||
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In addition, we can use the position update formula to show that the x-displacement ($\Delta x$) is the area under this curve: | In addition, we can use the position update formula to show that the x-displacement ($\Delta x$) is the area under this curve: |