Equation for Position Time Relation

# Equation for Position Time Relation

Class 9 Physics Motion: Equation for Position Time Relation

Fill Out the Form for Expert Academic Guidance!

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

• Derivation of the Second Equation of Motion
• Summary
• Did You Know?

In the previous segment, we derived the first equation of motion. In this segment, we will derive the second equation of motion.

## Derivation of second equation of motion: Position–time relation

With the help of a velocity–time graph, let us obtain the equation for the position–time relation.

We will use the velocity-time graph with the same labellings that we used to derive the first equation of motion.

Velocity-time graph

We know that the distance travelled by a vehicle can be calculated by finding the area of the velocity-time graph. Hence, the distance travelled in time ‘t’ equals the area of trapezium OABC.

Let’s call the distance travelled as ‘s’. To calculate ‘s’, we divide the trapezium OABC into a

rectangle OADC and a triangle ABD, find the areas of the figures individually, and sum them up.

Also Read: Equation for Position Velocity Relation

## Related content

 Distance and Displacement Uniform Motion and Non Uniform Motion Scalar Quantity and Vector Quantity Velocity What is Acceleration? Sign of Acceleration Uniform and Non-uniform Acceleration Distance Time Graphs – Part 1 Distance Time Graphs – Part 2 Velocity Time Graphs – Part 1