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Displacement Calculator

Find Displacement By Using...

 

Average Velocity (av)

 

Time (t)

 

Initial Velocity (u)

 

Final Velocity (v)

 

Acceleration (a)

 

v0

 

t0

 

v1

 

t1

 

v2

 

t2

 

v3

 

t3

 

v4

 

t4

 

v5

 

t5

 

v6

 

t6

 

v7

 

t7

 

v8

 

t8

 

v9

 

t9

 

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An online displacement calculator that helps you to determine the displacement of moving object by considering the initial, final velocities, acceleration & time. This online calculator uses four different equations to solve for the required outcomes. We will help you to understand the basic concepts like its definition, displacement formula physics & how to calculate displacement manually or with the calculator.

Also, you can try our online velocity calculator that helps you to find the speed/velocity of the moving object.

Read on!

What is Displacement in Physics?

In physics, it can be defined as the change in the position of an object. It implies that an object has moved, or has been displaced. If the starting & ending point is same, then displacement is zero. The length from one point to the other point is termed as distance while the shortest distance between the points is referred to as displacement. It is represented as Δs having SI unit meter (m). The difference between distance & displacement can be clear from the following diagram:

Diagram:

The formulas used by this calculator for the displacement calculations are discussed following.

Displacement Equations Used by this Calculator:

The formulas used for the calculations of shortest distance between two points are as follows:

\( S = ut + 1/2at^2\)

\( S = 1/2(v + u)t \)

\( S = v * t \)

\( S = 1/n (v_0t_0+v_1t_1+…….+v_{10}t_{10}) \)

Where,

u & v are initial and final velocities respectively.

t is time taken, a is the acceleration & S is the displacement of moving object.

To find acceleration, try the online acceleration calculator that helps you to determine the acceleration of the body in the motion.

How to Use Displacement Calculator:

If you worried about calculation of displacement with different input parameters, then quit worrying calculator-online provides you a single platform where you will be able to find the displacement of moving object with different input parameters. You just have to stick to the following points:

Inputs:

  • First of all, choose the input parameters for finding displacement from the dropdown of this tool.
  • Very next, fill up all the fields according to the selected option.
  • Lastly, hit the calculate button.

Outputs:

Once you click on calculate button, the calculator shows:

  • Displacement of the moving object in the required unit
  • The formula to be used for the calculation
  • Your entered inputs

How to Find Displacement (Step-by-Step):

Our calculator performs the calculations for the following input parameters:

  • Average velocity & Time
  • Initial velocity, Final velocity & Time
  • Initial velocity, Acceleration & Time

Here we have manual example for each of the calculation:

Example 1:

If the car moves with the average velocity of 40ms-1 for 120s, how much the car covers?

Solution:  

To find displacement from velocity, the formula is:

\(S = v * t\)

Here,

\(v = 40ms^-1\)

\(t = 120s\)

So,

\(S = 40 * 120\)

\(S = 4800m\)

Example 2:

A body starts moving from the rest and gains the velocity of 80ms-1 after 30s. Find the displacement of the body?

Solution:

The formula used is:

\(S = 1/2(v + u)t\)

Here,

\(u = 0ms^-1\)

\(v = 80ms^-1\)

\(t = 30s\)

So,

\(S = 1/2(80 + 0)30\)

\(S = 1/2(80)30\)

\(S = 1/2(2400)\)

\(S = 1200m\)

For ease, you can try our time calculator which can readily calculates the time between the two events or happening.

Example 3:

The car having initial velocity of 20ms-1, after 15s find the displacement of car having acceleration of 2ms-2?

Solution:

The formula used for these input parameters is:

\(S = ut + 1/2at^2\)

Here,

\(u = 20ms^-1\)

\(a = 2ms^-2\)

\(t = 15s\)

So,

\(S = (20)(15) + ½(2)(15)^2\)

\(S = 300 + ½(2)(225)\)

\(S = 300 + ½(450)\)

\(S = 300 + 225\)

\(S = 525m\)

You can try this online displacement calculator to verify all these example accurately, as this tool consider these equations for calculating displacement.

End-Note:

The displacement of moving object determines the final position of the object with direction & magnitude of displacement. It is used in our daily life & helpful to solve the different problems related to our real world. When it comes to the calculations, simply try this online displacement calculator that helps you to determine the displacement cover by the moving object.

References:

From the authorized source of Wikipedia : Definition & formulas for the displacement

From the site of Khanacademy : Calculations from different formulas

From the source of physicsclassroom : Difference between distance & displacement