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# In which circumstances is displacement is the same as distance traveled?

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## Related Questions distance travel led by a particle in a given interval of time is known as displacement. displacement=distance traveled by time taken.Displacement may be zero. it is path length which a particle travels.distance should not be zero. Yes,the magnitude of both distance and displacement can be same provided the body continues to travel in a straight line and in the same direction. However you should remember that displacement is a vector quantity while distance is a scalar quantity so they both can be compared only by there magnitude. The distance and displacement are the same when the displacement is parallel to itself or straight. Displacement is a vector and distance is a real number or scalar. If an object is displaced around a circle the displacement is zero and the distance is 2pi r. Displacement is a value predicated on the shortest distance between an initial and final position. If a "body" moves a certain distance and returns to its original origin it has not technically traveled any distance based on this definition. The displacement will therefore be zero No. Distance can be greater than displacement, but not less. The magnitude of the displacement between two points is also the minimum possible distance of a path between the same points.However, the displacement can be zero if the distance is not if the object's starting point and ending point are the same. Displacement is distance from starting point. If the object is always travelling in the same direction then they are the same. If the object turns round, the distance would still be increasing, however the displacement would be decreasing at the same rate. Displacement is a vector quantity while distance is a scalar quantity. so in case of displacement, it depends on final position. For example:- If a man walks on a circle, then if he completes one round then his displacement will be zero because the man is at same position as start position. But, his distance travelled will not be zero; it is equal to circumference of the circle. "Distance is a scalar measure of meters, and displacement is a vector measure of meters. Vectors have a direction and scalars do not. Distance is meters moved, displacement is meters moved in a specific direction." While displacement is a directed distance, that is not the key difference between the two terms. Displacement is the difference between the final position and the initial position, while distance is the length of the path connecting the two. The magnitude of displacement is the shortest distance between the final and initial positions. Example: If you walked from the southern end of your room to the northern end a total of 4 meters along a straight line, your displacement would have been +4 meters (assuming you define "north" as the positive direction). The distance you would have traveled happens to be numerically the same (4 meters). In contrast, had you walked from the southern end to the northern end not along a straight line, but along a zig-zag path, your displacement still would have been +4 meters, but the distance you traveled would have been more than 4 meters. Moreover, if after walking from the southern end to the northern end along that straight line, you then turned around and returned to the southern end via that same straight line, the distance you would have traveled would have been twice as much (8 meters), but your total displacement would have been zero. Displacement in physics can have multiple meanings dependent on the situation. If you are talking about the universal equations of motion or anything moving then displacement means how far something has 'literally' traveled. It differs from distance because if you where to start somewhere and then run around in a circle you would end in the same place and so your distance traveled would be 0. This would make it hard to find out how much energy you have expended because you technically haven't moved anywhere if you only look at distance. This is where displacement comes in, regardless of where you finish your displacement will be the same whether you run a mile in a Circle and finish in the same place or run a mile in a straight line. Now if you are talking about fluids then displacement will mean the amount of water displaced by an object in a fluid. This can be used to calculate the upward thrust of the fluid on the object. Alternatively, you could simply say that displacement is the distance moved in a particular direction and that it is a vector quantity (gives us both magnitude and direction). Sure. If the motion is all in a straight line, then the distance and displacement are equal. ==&gt; The Olympic 100-meter sprint is in a straight line. Distance = Displacement = 100 meters. If the direction of motion ever changes, then the distance and displacement are not equal. (I think if the direction of motion ever changes, then the distance has to be greater than the displacement.) ==&gt; In the Indianapolis 500, Distance = 500 miles, Displacement = Zero, because the Starting line and Finish line are in the same place, so the car finishes at the same place he started at. Yes. Displacement is change in position, d = (xf-xi), where d is displacement, xf is the final position, and xi is the initial position. It is a vector quantity and is affected by direction. If you move in such a way that the position at which you started and at which you stopped is the same, the displacement will be zero, because the final position is the same as the initial position, so d = (xf-xi)= 0. However, the distance traveled will not be zero because distance is a scalar quantity. Usually no. Say you need to fly to New York from Chicago. The resultant displacement would be the straightline distance between the two cities. But you fly through Atlanta (Everything seems to go through Atlanta). You would end up flying about twice the total distance between the cities. Yes. Displacement is change in position. If you move through a distance so that your starting position is the same as your stopping position, your displacement, is zero. Displacement in any interval of time may be zero,positive or negative.Imagine that a car begins traveling along a road after starting from a specific signpost. To know the exact position of the car after it has traveled a given distance, you need to know not only the miles it traveled but also its heading.The displacement, defined as the change in position of the object, is a vector with the magnitude as a distance, such as 10 miles, and a direction, such as east. Velocity is a vector expression with a magnitude equal to the speed traveled and with an indicated direction of motion. For motion defined on a number line, a positive or negative sign specifies the direction.Average velocity is mathematically defined asaverage velocity = total displacement/time elapsedNote that displacement (distance from starting position) is not the same as distance traveled. If a car travels one mile east and then returns one mile west, to the same position, the total displacement is zero and so is the average velocity over this time period. Displacement is measured in units of length, such as meters or kilometers, and velocity is measured in units of length per time, such as meters/second (meters per second). When an object moves from point A to point B , its displacement is the straight line distance between those points. So, by definition, it is the shortest possible path. The object can certainly travel by a curved path from A to B so its actual distance traveled would be longer then its displacement. This would be true regardless of how much time it takes to travel the paths.

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