Suppose the initial position of an object is zero, and the object moves with constant acceleration. which part of a velocity vs. time graph can be used to calculate the displacement of the object?

By definition, we have that the displacement of the object is given by:

Where,

v: object velocity

dt: time differential

Therefore, since the integral of a function is the area under the curve of the function, then in a graph of velocity vs time, we have that the displacement is:

The area under the curve of the velocity vs. time graph.

to calculate the displacement of the object we have to calculate:

The area under the curve of the velocity vs. time graph.

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