Acceleration time graphs and velocity time graphs

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To create a velocity time graph from an acceleration time graph, calculate the area under the acceleration graph for each time interval. For a speed boat accelerating at 2 m/s² for 7 seconds, the acceleration graph is a horizontal line at 2 on the y-axis. The area under this line for each second gives the change in velocity, which can be plotted against time. For example, after 1 second, the area is 2 m/s, after 2 seconds it is 4 m/s, and so on, up to 14 m/s at 7 seconds. This method effectively converts the acceleration data into velocity data over time.
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i have an acceleration time graph and need to create a velocity time graph. i know to get the velocity you take the area under the acceleration graph but i don't understand how you get the lines.

eg. a speed boat accelerates at 2m/s^2 for 7.0 seconds.

on the acceleration time graph i believe this would be a line parallel to the x-axis at 2on the way axis. how do i convert this line to a line in the velocity time graph?
 
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hi anotherperson! :smile:

(try using the X2 icon just above the Reply box :wink:)
anotherperson said:
eg. a speed boat accelerates at 2m/s^2 for 7.0 seconds.

on the acceleration time graph i believe this would be a line parallel to the x-axis at 2on the way axis. how do i convert this line to a line in the velocity time graph?

find the area under the graph in the first 1 second, then the area in the first 2 seconds (from 0 to 2), and so on up to the first 7 seconds (0 to 7)

then plot those figures against t = 1, 2, … 7 (on the t axis) :wink:
 
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