183_notes:graphing_motion

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183_notes:graphing_motion [2021/09/06 13:51] – dmcpadden183_notes:graphing_motion [2021/09/06 14:41] (current) – caballero
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 While the motion of the car, in principle, can occur 3 dimensions, it's not possible to represent all three dimensions and the time variable on a single 2-D graph. So, we have to select a component of the car's position (or velocity) to plot. In this case, let's assume the car moves to the right (i.e., in the +x direction). Perhaps, the plot of the car's position vs time looks like this: While the motion of the car, in principle, can occur 3 dimensions, it's not possible to represent all three dimensions and the time variable on a single 2-D graph. So, we have to select a component of the car's position (or velocity) to plot. In this case, let's assume the car moves to the right (i.e., in the +x direction). Perhaps, the plot of the car's position vs time looks like this:
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 {{url>https://chart-studio.plotly.com/~PERLatMSU/10/graph-of-x-position-vs-time-for-a-car-moving-with-constant-velocity/#plot 640px,480px}} {{url>https://chart-studio.plotly.com/~PERLatMSU/10/graph-of-x-position-vs-time-for-a-car-moving-with-constant-velocity/#plot 640px,480px}}
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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.
  
-{{url>https://chart-studio.plotly.com/~PERLatMSU/15.embed 640px,480px | Constant Velocity (velocity vs time)}}+{{url>https://chart-studio.plotly.com/~PERLatMSU/15.embed 640px,480px}} 
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 +/*{{url>https://chart-studio.plotly.com/~PERLatMSU/15.embed 640px,480px | Constant Velocity (velocity vs time)}}*/
  
 In addition, we can use the position update formula to show that the x-displacement (Δx) is the area under this curve: In addition, we can use the position update formula to show that the x-displacement (Δx) is the area under this curve:
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