Got a question. If you have a graph showing acceleration over time, what does the area under the graph represent?
Change in velocity I believe http://zonalandeducation.com/mstm/p...ics/slopesAndAreas/areaOfavst/areaOfavst.html
So acceleration is y axis up the side, time is x axis across the bottom, yes? I think it would be speed. Accel is rate of change of speed. Distance / time^2 = distance / time / time If you take the area you multiply the x by the y So distance / time / time * time = distance / time which = speed Hope that makes sense.
Area under graph Try this link which suggests the area under the curve is distance. Acceleration is change in velocity. https://www.khanacademy.org/science...ration-tutorial/v/acceleration-vs-time-graphs
This explains ithttp://www.bbc.co.uk/schools/gcsebitesize/science/add_aqa_pre_2011/forces/represmotionrev6.shtml
This explains it http://www.bbc.co.uk/schools/gcsebitesize/science/add_aqa_pre_2011/forces/represmotionrev6.shtml
Surely the axis of the graph would be distance and time? I don't think the area under the line represents anything, only the points on the line have any reference to the information?
Would the area under the graph represent the average value for acceleration multiplied by the time, and hence the final velocity?
The area under a graph is the product of the X and Y axes. So, if acceleration is in units of metres per second ^2, and time is in seconds, multiply seconds by metres per second ^2 and you get metres per second, which is a velocity. Why you would want to plot acceleration against time, I don't know. Don't forget that anything slowing down exhibits negative acceleration so the plot on your chart will go below the axis.
We're not plotting it Rich, we're measuring it Thanks for the replies. It makes sense... even though the acceleration is considerable, the velocity is small because the duration it acts over is small as well... which reflects observations. We just need to upgrade the measuring stick so there's better detail in the results.
Needless to say Rich is the nearest. Actually, using the traditional (when I was a kid) notation v = u + a * t so a * t (the area under the curve) is the accumulated change in velocity (v - u)