Question

Displacement of a body within a definite intervel of time is equal to the area of the portion
under_________
(Velocity- time graph),(position-Time graph)​

Answer 1

Explanation:

From the graph find out the time taken by the car to travel a distance of 45 m. With the given data in the table, draw a velocity-time graph. Displacement of a body within a definite interval of time is equal to the area of the portion under velocity-time graph.

Answer 2

Therefore the displacement of a body within a definite interval of time is equal to the area of the portion under velocity-time graph.

Given:

The displacement of a body within a definite interval of time.

To Find:

The area of the portion under which the graph gives the displacement of a body.

Solution:

The given question can be solved as shown below.

We know that,

⇒ Velocity = displacement / Time

Then displacement = Velocity × Time

The area under the velocity-time graph = velocity × time

From the formula given above,  

⇒ The area under the velocity-time graph = velocity × time = displacement.

This can be inferred using the units too as shown below.

The area of the portion under velocity-time graph = velocity × time

⇒ Units of the area of the portion under velocity-time graph = m/s × s = m

Meter is the unit of 'displacement'.

Therefore the displacement of a body within a definite interval of time is equal to the area of the portion under velocity-time graph.

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