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# SUVAT Calculator

Choose the unknown term and enter the required values in this SUVAT calculator.

Table of Contents:

## SUVAT Calculator

This SUVAT calculator solves for the values of quantities involved in the constantly accelerated motion. Using this uniformly accelerated motion calculator you can find the values of:

- Distance (S)
- Time (t)
- Initial velocity (u)
- Final velocity (v)
- Acceleration (a)

Let’s see what do we mean by SUVAT and what are the formulas used to calculate these values.

## What is SUVAT?

SUVAT is the acronym of five motion quantities: Distance, initial velocity, final velocity, acceleration, and time respectively. These formulae are only applicable if the acceleration is uniform throughout the motion.

## SUVAT formulas:

The five formulas used to calculate these values are:

### Distance:

s = ut + ½ * at^{2}

### Initial velocity:

u = (s - ½ * at^{2}) / t

### Final velocity:

v = (s + ½ * at^{2}) / t

### Acceleration:

a = v^{2} - u^{2} / 2s

### Time:

t = v - u / a

## How to calculate SUVAT quantities?

The most difficult equation by glance is of distance. So let’s see an example of calculating this quantity.

**Example:**

If a man has been running with an acceleration of **2ms**^{-2} for two **5** seconds. The initial velocity is** 0ms**^{-1} and the final velocity is **10ms**^{-1}. Find the distance.

**Solution:**

s = (0)(5) + ½ * (2)(5)^{2}

s = ½ * 50

**s = 25 m**