# SUVAT Calculator

Use the SUVAT Calculator tool to get the acceleration and time easily and fastly. Simply you need to provide the initial velocity, final velocity and displacement of the object in the given input fields and tap on the calculate button to get the results in a matter of seconds.

**Ex:** 10, 167, 48, 34.5 or 90

### Step by Step Process to Calculate Acceleration, Time

Here we are giving the simple steps on how to use SUVAT equations to find the time and acceleration easily. Follow these guidelines carefully and obtain the result

- Get the initial velocity, final velocity and displacement of the moving object from the uestion.
- Subtract the final velocity from the initial velocity and divide it by the acceleration to check the time.
- Subtract the square of final velocity from the square of initial velocity.
- Divide the result by the double of displacement to find the acceleration value.

### SUVAT Equations

SUVAT stands for the variables s is the displacement u is the initial velocity v is the final velocity, a is the acceleration and t is the time

SUVAT equations are also called the motion of equation. The following 5 formulas will explain everything about the system of motion. Get the definition of each term in the following sections.

- Initial velocity is the velocity or speed at which the motion starts in the object.
- Final velocity is the velocity at which the motion ends in an object.
- Acceleration is nothing but the rate of change of an object speed. Its an vector quantity and has magnitude and direction.
- Displacement is the change in position of an object.
- Time is time taken by an object to reach the destination from the strating position.

The SUVAT Formulas are along the lines:

Average velocity = (v + u)/2

v = u + at

s = ut + ½at²

u = v - at

v² = u² - 2as

s = ½(v + u)t

Where,

u is the initial velocity

v is the final velocity

s is the displacement

a is the acceleration

t is the time taken

**Example**

**Question: A body is accelerated from 1 m/s to 5 m/s over a distance of 15 m. Find the acceleration and the time taken to move the body position.**

**Solution:**

Given that

Initial velocity u = 1 m/s

Final velocity v = 5 m/s

Distance or displacement s = 15 m

Time taken (t) = ?

Acceleration a = ?

t = (v - u)/a

a = (v² - u²)/2s

Substitute the values

a = (5² - 1²)/2 * 15

= (25 - 1)/30

= 24/30

= 0.8

t = (5 - 1)/0.8

= 4/0.8

= 5

Therefore, the acceleration is 0.8 m/s² nad time taken is 5 seconds.

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### FAQ's on SUVAT Calculator

**1. What are the 5 SUVAT equations?**

The five SUVAT equations are displacement, acceleration, time, initial velocity and final velocity

Final velocity v = u + at

Initial velocity u = v - at

displacement s = ut + ½at²

Time t = (v - u)/a

Acceleration a = (v² - u²)/2s

**2. How do you rearrange suvat equations?**

We know that v = u + at

So, acceleration a = (v - u)/t

Time t = (v - u)/a

v² = u² - 2as

**3. Why SUVAT Equations are used?**

SUVAT Equations are used for calculating the acceleration and time when you know initial velocity, final velocity and displacement. You can also any two parameters by using the any three known parameters.

**4. A car accelerates uniformly from 6 m/s to 10 m/s taking 15 seconds. How fat did it travel during this period.**

Given that,

Initial velocity u = 6 m/s, final velocity v = 10 m/s, Time t = 15 seconds

s = ½(v + u)t

s = ½(10 + 6) * 15

= 8 * 15 = 120

The dislacement is 120 meters.