# Equation of Motion for Constant Acceleration

**Formula:**`s = ut + 1/2(at^2)`

## Introduction to Equation of Motion for Constant Acceleration

In physics, the equation of motion for constant acceleration describes the relationship between the initial velocity of an object (** u**), its acceleration (

**), and its displacement after a certain period of time (**

*a***). For simplicity, this formula only considers the initial velocity and linear acceleration component of the motion, calculated as**

*t*`s = ut + 1/2(at^2)`

.## Parameter usage:

`initialVelocity`

= the initial velocity of the object`acceleration`

= the constant acceleration experienced by the object`time`

= the duration for which the acceleration is applied

## Example valid values:

`initialVelocity`

= 10 m/s`acceleration`

= 2 m/s^2`time`

= 5 s

## Output:

`displacement`

= resultant displacement of the object

## Data validation

Ensures numeric input and positive time values.

## Summary

This formula is crucial in understanding basic principles of physics and is applied in numerous scientific and engineering calculations.

Tags: Physics, Motion, Acceleration, Equation