Calculator Online

Home AI Chat AI Math Solver

NEW

Tools ▾ Category ▾

Pricing Sign In

Calculator Online

Sign In ▾

Your Result is copied!

Displacement Calculator

Enter the values and click the 'Calculate' button to determine the displacement (distance traveled) of an object from its starting point.

Find Displacement By Using...

Average Velocity (av)

m/s ▾

Time (t)

sec ▾

v 0

m/s ▾

t 0

sec ▾

v 1

m/s ▾

t 1

sec ▾

v 2

m/s ▾

t 2

sec ▾

v 3

m/s ▾

t 3

sec ▾

v 4

m/s ▾

t 4

sec ▾

v 5

m/s ▾

t 5

sec ▾

v 6

m/s ▾

t 6

sec ▾

v 7

m/s ▾

t 7

sec ▾

v 8

m/s ▾

t 8

sec ▾

v 9

m/s ▾

t 9

sec ▾

Related

Displacement Calculator

Use this displacement calculator to find the change in position of an object. Our calculator lets you make displacement calculations under various conditions of motion using different formulas:

If the displacement is based on the average velocity and it remains constant for time (t):

S = (av) t

If the displacement involves the object's initial velocity (u) and the acceleration experienced throughout the time (t):

S = ut + 1 2 at²

If the displacement assumes a constant velocity based on initial and final speeds along with the time:

S = 1 2 (v + u)t

What is Displacement?

“The displacement is the shortest distance, an object travels in a straight line from its starting point to its ending point”

It represents the change in the position of the object, considering both magnitude and direction.

Quantity = Vector quantity
SI Unit = meter

Here's an example which perfectly illustrates the concept: For instance, if a car moves 20 meters east, then 10 meters west, its total distance traveled is 30 meters (20 meters + 10 meters).

However, its displacement would be 10 meters east because its final position is 10 meters east from its starting point.

Displacement of an object

How To Calculate Displacement?

There are several formulas for calculating displacement considering both the distance and direction of an object. There are examples below that helps to indicate these formula throughout the calculations!

Example 1:

If the car moves with an average velocity of 40 m/s for 120 s, how much does the car cover?

S = v × t

S = 40 m/s × 120 s

S = 4800 m

Example 2:

A body starts moving from the rest and reaches a velocity of 80 m/s after 30 s. Find the displacement of the body assuming constant average velocity during this time

Initial velocity 'u' = 0 m/s
Final velocity 'v' = 80 m/s
Time 't' = 30 s

S = ½ (v + u) t

S = ½ (80 + 0) × 30

S = 1200 m

Example 3:

The car has an initial velocity of 20 m/s and experiences an acceleration 2 m/s² for 15 s. Find the displacement of the car.

Initial velocity 'u' = 20 m/s
Acceleration 'a' = 2 m/s²
Time 't' = 15 s

S = u t + ½ a t²

S = 20 × 15 + ½ × 2 × 15²

S = 300 + 225

S = 525 m

Difference Between Displacement & Distance

Feature	Distance	Displacement
Definition	Total length of the path traveled	Straight-line path from start to end
Direction	No	Yes
Quantity	Scalar	Vector
Possible values	Always positive or zero	Positive, negative, or zero
Path dependence	Depends on actual path	Independent of path
Measurement	Along any path	Straight line from start to end
Example	Car drives a curvy route for 10 km	Person walks 4 steps east, then 4 steps west → displacement 0 km

What are the Applications of Displacement Calculator?

These are some key applications of the calculator:

Physics problems: Determine the traveled distance in various situations of linear motion (1D)
Navigation: Find the direct route and compass heading between two points on a map (accounting for Earth's curvature for long distances)
Engineering: Provide support in calculations related to the motion of an object in various engineering applications
Everyday Use: Calculate the direct distance covered, valuable for activities like estimating walking distance or travel paths