Help with VT graph and DT graphs

[ShakeECET109]

Hi Guys, I messed up bad on a recent quiz on these easy VT and DT graphs. I am having trouble going from one to another. I recently took this quiz and pretty much got everyone wrong since then I have googled and read the chapter as much as possible, but I can't find any good completed examples to know if I am doing it correctly. In our book it basically calls these things frequency polygons, histograms. Are they the same?? Is there any way to enter the x,y coordinates for a Distance time graph in my TI-89 titanium and have it output the velocity graph??

Can anyone show me the correct graphs for these 3 problems i missed on the quiz??

Thanks in advance for any info.

P.S. anyone have any good resources on how to plot derivatives on a graph ??

 

[mighty2000]

Hello there,

I can understand your frustration with the quiz and I'm here to help. First of all, don't worry too much about the terms frequency polygons and histograms. They are both types of graphs that represent data, but they are slightly different in the way they are plotted. The important thing is to understand the concepts behind them.

To go from a velocity-time graph to a distance-time graph, you need to remember that the slope of a velocity-time graph represents the acceleration. So, to get the distance-time graph, you need to integrate the velocity-time graph to get the displacement (distance) at each time interval. This can be done mathematically or using your TI-89 titanium calculator. To do it on the calculator, enter the velocity data into a list and then use the "integrate" function to get the displacement values. Once you have the displacement values, you can plot them on a distance-time graph.

As for plotting derivatives on a graph, you can use the "derivative" function on your calculator to get the slope (or rate of change) of a function at a specific point. You can then plot these values as points on a graph to get the derivative graph.

Now, let's take a look at the three problems you missed on the quiz and see if we can get the correct graphs. Can you provide the data and the equations that were given for each problem? That will make it easier for me to show you the correct graphs. Additionally, I recommend checking out some online resources or even your textbook for more examples and practice problems. Don't hesitate to ask for help from your teacher or classmates as well. With some practice and understanding of the concepts, I'm sure you'll be able to ace the next quiz. Keep up the good work!