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Q: How do you make an acceleration time graph from the data of a velocity time graph?

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take the slope of every change in the velocity time graph and plot it

Your acceleration vs. Time graph is the slope of your velocity vs. time graph

what incrament would ba a apppropriate to make a graph of the data

To make acceleration equal zero. The velocity must be constant. For example, if velocity is constant at 10 m/s^2 its acceleration is zero. The same is true if velocity is 0 m/s^2.

Because its really fun :)

No but you do need a dataset or data range with which to to populate the graph.

Acceleration is the change in velocity of an object. If an object is travelling at an unchanging speed, its speed is neither increasing (which would make a positive acceleration) nor decreasing (which would make a negative acceleration). Thus, the acceleration is 0.

When acceleration is constant, one equation of kinematics is: (final velocity)^2 = 2(acceleration)(displacement) + (initial velocity)^2. When you are graphing this equation with displacement or position of the x-axis and (final velocity)^2 on the y-axis, the equation becomes: y = 2(acceleration)x + (initial velocity)^2. Since acceleration is constant, and there is only one initial velocity (so initial velocity is also constant), the equation becomes: y = constant*x + constant. This looks strangely like the equation of a line: y = mx + b. Therefore, the slope of a velocity squared - distance graph is constant, or there is a straight line. Now, when you graph a velocity - distance graph, the y axis is only velocity, not velocity squared. So if: v^2 = mx + b. Then: v = sqrt(mx + b). Or: y = sqrt(mx + b). This equation is not a straight line. For example, pretend m = 1 and b = 0. So the equation simplifies to: y = sqrt(x). Now, make a table of values and graph: x | y 1 | 1 4 | 2 9 | 3 etc. When you plot these points, the result is clearly NOT a straight line. Hope this helps!

Yes because you need the data on the right and across the bottom to make the graph

As long as you have your data in a data table and you know how to make a graph, yes.

just like direct proportionality and make negative slope in graph

you can visualize the graph better than the table. ---------------------------------------------------- A data can make A PATTERN much easier to recognize and understand.

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