Calculating Position from Acc. Time Graph

AI Thread Summary
To determine the instantaneous position of an object using an acceleration-time graph, calculate the area under the curve to find the change in velocity over specific time intervals. This change in velocity can then be integrated to find the corresponding change in displacement using a velocity-time graph. The initial position and velocity must be factored in to arrive at the final position. While there isn't a single formula for this process, the relationship between acceleration, velocity, and displacement is crucial. Understanding these concepts allows for accurate position calculations from an acceleration-time graph.
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How can i figure out the instantaneous position of an object using an acceleration time graph. Iam also given initial velocity and initial position? Thanks
 
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The area under the curve between two time points of the a-t graph is the total change in velocity between those two time points.

The area under the curve between two time points of the v-t graph is the total change in displacement between those two time points.
 
Is there an specific formula for it?
 

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