Displacement Formula

Displacement Formulas - How to Calculate Displacement

Displacement is defined as the shortest distance between two points.
In a two dimensional system, distance formula can be used to find the shortest distance between two points. I.e. 



If an object is moving with constant velocity, then
                        Displacement = velocity x time

If an object is moving with constant acceleration then the equations of motion used to find displacement is:

S = ut + ½ at2



If v = instantaneous velocity,
Then Displacement (S) = ∫v(t)dt

Example:
Find the displacement covered by an object which accelerates from rest to 60 m/s in 3s.

Ans:
Initial velocity = 0 and final velocity = 60m/s
Time taken = 3s.
Therefore, acceleration = 60/3 = 20m/s2
Displacement (S) = ut + ½ at2
                             = 90m

Question:
Find the displacement of an object if it moves with an acceleration of 4 m/s2 for 5s, where the initial velocity was 2 m/s.