Determine acceleration from position vs time graph

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To determine acceleration from a position vs. time graph, it's essential to accurately estimate instantaneous velocities at key points, such as half the height and the climax. The slopes of these points are used to create a velocity vs. time graph. The slope of the velocity graph represents acceleration. If the calculations are consistently incorrect, it may be due to misinterpretation of the graph or errors in slope calculation. Clarifying specific questions or issues can lead to better guidance.
Momentum09
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Hi,
I was given a position vs. time graph of a projectile. I estimated the instantaneous velocity at the first 1/2 height, climax, and the second 1/2 height. From these slopes I created a velocity vs. time graph and use the slope of this line for my acceleration, but I keep getting this problem wrong.

Thanks!
 
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