Displacement Calculator

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_it + 1/2 at²

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_it + 1/2 at²
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