To calculate result you have to disable your ad blocker first.
Displacement Calculator
To calculate displacement, input time(t), initial (vi) & final (vf) 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 (vf - vi)
Where vi is the initial velocity and vf is the final velocity.
The formula of the displacement in terms of acceleration is:
Displacement = d = vit + 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 = vi = 10m/s
Final velocity = vf = 15m/s
Time taken = t = 230s
Step 2: Find the acceleration of the object.
Acceleration = a = (vf - vi)/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 = vit + 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