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# Displacement Calculator

To calculate displacement, input time(t), initial (v_{i}) & final (v_{f}) velocities into the required boxes and hit calculate button using displacement calculator

Table of Contents:

Displacement calculator is used to calculate the displacement of an object using time, acceleration, initial, & final velocities.

## What is displacement?

In mechanics, the shortest distance between two points is said to be the displacement. In other words, the distance moved by an object, body, or a particle in a specific direction is known as displacement. It is a vector quantity.

## The formula of the displacement

The formula used to find the displacement is:

**Displacement = d = v * t**

- d is the displacement
- v is the average velocity
- t is the time taken from initial to final.

The average velocity can be calculated by using the acceleration formula.

**Acceleration = a = 1/t (v _{f} - v_{i})**

Where v_{i} is the initial velocity and v_{f} is the final velocity.

The formula of the displacement in terms of acceleration is:

**Displacement = d = v _{i}t + 1/2 at^{2}**

## How to find the displacement of an object?

Below is a solved example of displacement.

**Example**

Find the displacement of a car, if the initial velocity is 10m/s, the final velocity is 15m/s, and the time taken is 230 seconds.

**Solution**

**Step 1: **Write the given values.

Initial velocity = v_{i} = 10m/s

Final velocity = v_{f} = 15m/s

Time taken = t = 230s

**Step 2:** Find the acceleration of the object.

Acceleration = a = (v_{f} - v_{i})/t

Acceleration = a = (15 - 10)/230

Acceleration = a = 5/230 = 0.021739

**Step 3:** Put the values of initial velocity, acceleration, and time taken in the formula of the displacement.

Displacement = d = v_{i}t + 1/2 at^{2}

Displacement = d = (10)(230) + 1/2 (0.0217)(230)^{2}

Displacement = d = 2300 + 1/2 (0.021739)(52900)

Displacement = d = 2300 + 1/2 (1150)

Displacement = d = 2300 + 575

Displacement = d = 2875