## How Are All Paths That Have A Displacement Of Zero Similar?

Jul 26, 2023

How are all paths that have a displacement of zero similar? Sample Response: Any situation that has a path that stops at the same position that it started from has a displacement of zero.

## What does it mean when displacement is zero?

Step 2. Meaning of zero displacement – When a body moves a considerable distance but returns to its initial position, its displacement is considered zero. In other words, if the initial and final positions of a moving body are the same, the displacement is said to be zero.

#### When can the displacement of an object be equal to zero?

The beginning and final locations of a body that travels a distance and returns to its original place are the same. The displacement is zero in this situation, but the distance traveled is not. Positive, negative, or even zero displacements is possible.

### Is it possible to have zero displacement but not the distance Why?

Displacement can be zero even when distance is not zero. Consider two points A and B such that AB = 5 m. When a car travels from A to B and then back from B to A, distance = 5+5 = 10 m. Displacement = Minimum distance between final(B) and initial position(B) = 0.

#### Can displacement be zero in circular motion?

How much is the displacement in one cycle of a circular motion? Join Vedantu’s FREE Mastercalss Answer Verified Hint: Displacement is the shortest distance between two points, i.e., between the starting point and the ending point. It is independent of the path taken by an object.

The circle after one cycle has the same starting and ending point. Complete answer: We know from our previous knowledge of mechanics that displacement is defined as the shortest distance between two points between which an object has undergone a motion. It is a vector quantity pointing from the initial position of a body to its final position.

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An object can take any path between two points A and B, the distance covered by it, is the total path covered by the body in moving from A to B via the given path, whereas the displacement is the straight line connecting the two points A and B. From the above discussion, it is clear that the displacement is the shortest distance a body can undergo from two given points. Also, it is always a straight line.Now, let us consider the circular motion a body undergoes. It is given that a cycle of a circular motion is considered. We know that, one cycle of a circular motion is the motion of an object from a point A on the circle to the same point A after a complete revolution.Obviously, in this case of circular motion the initial point and the final point are the same.

Therefore, we can come to the conclusion that the displacement in one cycle of a circular motion is zero. Additional Information: Note:

The displacement involved for ‘n’ number of cycles of circular motion, given that n is an integer, is always zero. Also, the half cycles in a circular motion gives the magnitude of displacement equal to the diameter of the circle.The distance and displacement are often mistreated by the students.

## Is it possible for an object to have zero displacement?

Yes, the object instead of moving through a distance can have zero displacement. Example: If an object travels from point A and reaches to the same point A, then its displacement is zero.

## Does 0 displacement mean 0 velocity?

When does the average velocity become zero? Join Vedantu’s FREE Mastercalss Answer Verified Hint: The average velocity can be defined as the total displacement divided by the time taken to make the displacement. We can recall that displacement is a vector quantity and hence depends on the direction.

Formula used: Complete Step-by-Step solution Note

In this solution we will be using the following formulae; $\bar v = \dfrac$ where $\bar v$ is the average velocity of an object, $d$ is the total displacement, and $t$ is the time taken to make such displacement.We are to define the state at which the average velocity of an object will be equal to zero.

To do this, we have to define the average velocity itself. The average velocity is the total displacement divided by the time used to change the displacement. Mathematically given as $\bar v = \dfrac$ where $\bar v$ is the average velocity of an object, $d$ is the total displacement, and $t$ is the time taken to make such displacement.Hence, generally, when the total displacement is zero the average velocity is zero.

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For a better understanding, recall that the displacement of a body is a vector and hence is dependent on the direction. It is specifically defined as the rate of change of position of the object in a specified direction. This means that when a body changes position in a particular direction at first, and changes the position in the opposite direction by the same amount, the displacement is zero.

1. Also, for a uniformly accelerating body, the average velocity is zero if the final velocity is equal to the negative of the initial velocity.
2. For example, a body thrown vertically upward under gravity only, will accelerate uniformly downward (acceleration due to gravity), and have the same velocity at the end as it had at the beginning.

The average velocity in such a case is zero. : When does the average velocity become zero?

## Can displacement be zero but distance can never be?

Brainly User Brainly User Answer: displacement can be zero but distantce because displacement has both direction and magnitude while distance has only magnitude. Therefore, as we move from our home to the shop and then back to home, displacement is zero while distance is not zero. The distance can be zero only if the object remains at rest. Explanation: Vandematarm

#### What happens when the displacement of a moving object is zero?

Displacement is calculated on the basis of initial and final position. If initial and final position are same, displacement is zero. But distance is the total distance covered from initial to final position. So, it cannot be zero in this case.

#### Can distance be zero while displacement is always positive?

No, it is not true, the displacement of a body can be positive, zero, or negative because the displacement is a vector quantity. While the distance is a scalar quantity so the distance can be zero or positive but can’t be negative.

## Why can’t speed be zero?

As per the question, if the object is moving then the distance covered by the body cannot be zero, so the speed cannot be zero for a moving body.

#### Can a body have zero displacement but non zero velocity?

Answer and Explanation: Yes, one can have zero displacement and a nonzero average velocity as well as zero displacement and nonzero velocity. Displacement of the ball is clearly zero.

#### Can velocity be zero but not speed?

If we consider a body in motion having the same initial and final point, its displacement is zero while the distance covered is not zero. Therefore it has zero velocity and a non-zero speed.

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### Does no displacement mean no velocity?

Problem: – A sprinter runs north in a straight line and covers a distance of 100 m in 12 s. What is her average velocity? What is her average speed? Solution:

Reasoning: P 2 – P 1 is 100 m north. The displacement vector is 100 m north. Details of the calculation: The average velocity of the sprinter is < v > = (100 m)/(12 s) north = 8.33 m/s north. Her average speed is 8.33 m/s. Note: For objects moving along a straight line without reversing their direction, the average speed is the magnitude |< v >| of the average velocity < v >.

Summary The average speed is the distance covered divided by the time it took to cover this distance. If a person walks 1 km west, then turns around and walks 1 km east, the distance this person covers is 2 km. If it takes 20 minutes to cover this distance then the average speed is 2 km/ 20 minutes = 2000 m/ (20*60 s) = 1.67 m/s.

#### Can a moving object have zero velocity?

Yes, it is possible when an object is thrown upward then at the highest point its velocity is zero and it has acceleration due to gravity, which is finite.

### Can displacement be zero or Cannot be zero?

Displacement can be zero, for example when a person moves from an initial point and comes back to the starting point, his displacement is zero. The magnitude of displacement can be equal to or less than the distance travelled, it cannot be greater than the distance travelled.

#### Under what conditions is the net displacement equal to zero?

How displacement can be zero? – The is a vector quantity. It has a particular direction as well as a magnitude. Based on the direction of an object moving in the reverse direction, its displacement can be negative also. If a positive and negative displacement of a body is equal in magnitude, then the net displacement of a body is zero.

Any object is thrown vertically upward, the object will accelerate upward and then returns back to the ground by the action of gravitational force on the object. The object returns back to the same position then the displacement of the object becomes zero. The displacement of an object in a centripetal motion is always zero.

This is because the object in a centripetal motion moving along the circular path will return back to its same original point after every revolution around a fixed center of the circle. Thus the displacement of an object in a circular path is zero.