Calculate the total displacement of the object - whose motion is represented by the velocity–time graph below. Here, the displacement can be found by calculating the total area of the shaded ...

The velocity time graphs give all three variables for motion–velocity which can be read off at any time. Area is displacement and gradient is acceleration. Next page ...

But note that I have a strategy for calculating the displacement (which is the same as integrating). Start with initial values for position, velocity, and time. Pick a tiny time interval (dt).