What does the area under the velocity-time graph represent?

Concept:

• Displacement: The change in position is called displacement. It is the shortest distance that can be traveled between two points.
• Velocity: The rate of displacement is called velocity. It is a vector quantity. like displacement.

s is displacement, t is time.

• Acceleration: The rate of change of velocity is called acceleration.

Explanation:

The velocity-time graph is given below.

The area under curve will be (Trapezium Area)

Here we can see we are multiplying velocity with time, which will give displacement. 

So, the Area under the velocity-time graph gives the displacement.

Important Points

• Area under acceleration time graph gives velocity.
• The slope of the velocity-time graph gives acceleration.
• The slope of the distance-time graph gives speed.