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An Object has Moved through a Distance. Can it have zero displacements? If yes support your answer with an example

By BYJU'S Exam Prep

Updated on: September 25th, 2023

Yes, an object can have zero displacements if it has traveled a distance. This occurs when the object moves along a closed path or oscillates between two points, returning to its original position. Understanding the distinction between displacement and distance will give you a better understanding of it. Read further to know an object can have zero displacements if it has traveled a distance.

Understanding Displacement and Distance

Before we proceed, let’s understand the difference between displacement and distance. Distance is a scalar quantity that represents the total path traveled by an object. It is solely concerned with the magnitude of the movement, without considering the direction. On the other hand, displacement is a vector quantity that considers both magnitude and direction, representing the net change in the positions of an object.

What is Distance

Distance is the sum of an object’s movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

What is Displacement

The term displacement refers to a shift in an object’s position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.

Can an Object Have Zero Displacement Despite Moving a Distance

Yes, an object can have zero displacements if it has traveled a distance. Since displacement, and not the actual path, is a vector quantity based on starting and ending positions.

  • The shortest distance between an object’s original and final positions is referred to as displacement.
  • Zero total displacements are possible for an item traveling a specific distance. If an object returns to its original position after traveling a long distance, the corresponding displacement of the object will be zero.
  • For instance, a circular motion has no displacement but a distance of 2πR.

Examples of Zero Displacement

Let’s consider a person taking a jog around a circular track. The person starts at a particular point on the track and completes one full lap, returning to the same starting point. Although the person has covered a considerable distance, the net change in their position is zero. The displacement is zero because the starting and ending points are the same.

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Summary:

An Object has Moved through a Distance. Can it have zero displacements? If yes support your answer with an example

Yes, an object can have zero displacements even if it has traveled a distance. This typically occurs when the object moves in a closed loop or follows a path that brings it back to its starting point. In such cases, although the object has covered a distance, the net change in its position is zero, resulting in zero displacements.

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