Position in Velocity-Time Graphs

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Homework Statement
How do I find the position of an object in a velocity-time graph?
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Would it be correct if I multiplied the time by the velocity of the object since the units would cancel into meters? So for example, I multiply 2 seconds by 1m/s which gives me 2m - would that be the object's position?
 
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If the velocity is constant, that will give you the change in position.
More generally, take the area under the curve (counting as negative where the velocity is negative).
 

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