Steps for converting one type of graph to the other?

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To convert a velocity-time graph to a position-time graph, one must consider the area under the velocity curve, which represents the change in position. The position graph will show continuous increase since the velocity is always positive. The curvature of the position graph reflects the changing velocity; as velocity increases, the slope of the position graph becomes steeper. Accurate mapping of this increase can be challenging, especially as the velocity approaches a constant value, indicating the position graph will eventually resemble a straight line. Clear explanations of the reasoning behind the sketch are essential for effective communication in the discussion.
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Homework Statement


IMG_20180701_191116.jpg

Suppose this the velocity time graph given and we want to plot position time grah from this.
What are the things to be considered while plotting the position time graph from this graph?

2. Homework Equations

The uniform acceleration motion equations.

The Attempt at a Solution


IMG_20180701_191558.jpg

I think this is what the graph should look like because area under the velocity time cure is continuously increasing.

I will be thankful for any help!
 

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The position is always increasing = the velocity is always positive, good.
The rate of the increase in position is increasing (the curve turns upwards) = the velocity is increasing, good.
You start with zero velocity, the beginning of the curve could be a bit flatter.
Mapping the rate of this increase accurately is difficult. Towards the end it looks like the velocity approaches a constant, so the position graph should become close to a straight line.
 
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Mark44 said:
@navneet9431, the word is "graph" not "grah".
I have edited it!
 
navneet9431 said:
What are the things to be considered while plotting the position time graph from this graph?
Is that the question asked of you, or were you asked to sketch the graph and this is your question to the forum?
If the first, you need to say more about how you arrived at the sketch. Specifically, explain why you have the slope increasing.
 
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