Question

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?

Answer 1

The area under a velocity graph represents the displacement of the object

Answer 2

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

`r = \int\limits^t_0 {v} \, dt`

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.

Answer:

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

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