# Which of the following Represents the Equation for Position-time Relation?

By K Balaji|Updated : October 6th, 2022
1. 2as = v2 = u2
2. S = ut + ½ at2
3. v = u - at
4. v = u + at

The equation for position-time relation is S = ut + ½ at2 . Equations of motion are used to calculate the displacements, final velocity, time, etc. of a moving object without taking the force acting on it into account.

### Equation for Position-time Relation

These formulae are only accurate when the body's acceleration is constant and it moves straight ahead.

The Position-Time graph is the graph where the time t and the particle's instantaneous position x are shown on the y-axis and x-axis, respectively.

To create x-y planar graphs

• Place an independent variable on the x-axis at all times.
• The y-axis should be used to plot dependent variables.
• The dependent variable is reliant on the independent variable via some mathematical function.

The three equations of motion are:

S = ut + ½ at2

V = u + at

V2 = u2 + 2aS

Where,

V is the final velocity,

a is the acceleration of body under motion,

s is the distance travelled by the body under motion,

u is the initial velocity,

t is the time taken by the body under motion.

From the above explanation, we can see that

S = ut + ½ at2 represents the equation for position-time relation.

Summary:-

## Which of the following Represents the Equation for Position-time Relation? - 1. 2as = v2 = u2 2. S = ut + ½ at2 3. v = u - at 4. v = u + at

S = ut + ½ at2 represents the equation for position-time relation. It can be used in the calculation of displacement, velocity and time

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