Question

Can there be displacement of an object in the absence of any force acting on it?

Answer 1

A body tends to be at rest or in state of uniform motion unless and until an external force acts on it. 

Hence if a body is in a state of uniform motion it continues to be in state of uniform motion 
as external force is 0 .Hence the body has uniform velocity , therefore displacement changes with time. 

Using second law of mtion. 

By formula F= M*a ( "F" is the force , "M" is the mass of the body ,"a" is the acc) 

SO according to question F=0, Hence a=0. 
Let us assume that the body has initial velocity "U" 
Then by kinematics we can find the displacement 
(ie) s=U*t + a*t*t/2 (a=0) 
Hence s=U*t (this indicates that displacement changes with time). 

You also may be in confusion as in real life this is not possible , 
this is due to an external force "friction" due to which the motion of the body comes to rest.

Answer 2

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According to Newton's second law of motion, F = m × a.

If F is 0, acceleration produced in a body will be 0, since mass cannot be 0.

With no acceleration, an object moving with uniform velocity will continue to move with uniform velocity.

If so, the object can undergo displacement even in the absence of any force acting on it.

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