Linear Displacement, Velocity & Acceleration

a) Linear Displacement-

The total path traveled by an object from its initial position irrespective of the type of motion (i.e Straight or curved motion) is called as its 'linear displacement'. 

Linear displacement depends only on the movement of object and is independent of initial and final position of the object.If the initial and final positions of object are same, the linear displacement will not be considered as zero. Its linear displacement will be equal to the path traveled by that object before coming back to its initial position.

For  Example

b) Linear Velocity-

Rate of change of Linear displacement with respect to time is called 'Linear velocity'.

c) Linear Acceleration- 

Linear acceleration can be defined as the rate of change of linear velocity with respect to time. It is a vector quantity having magnitude and direction.

Negative acceleration is called as ‘Retardation’.

Formulas for Linear motion:-

i)   v - u = at

ii)   S = ut + 1/2at²

iii)   v² - u² = 2aS