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Distance is equal to magnitude of displacement

when the motion is in a straight line.

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Q: When can a body have same distance and same displacement?
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Is the distance covered by a body may be greater than the magnitude of displacement?

yes,displacement is the shortest distance covered by a body,so distance covered by a body may be greater than the displacement.


Give an example where displacement is zero but distance is not?

when the body moves circularly from a point 'A' to a then the displacement will be zero(displacement is the shortest diatance from the initial point to final point) and the distance will not be zero.


Is there any example of motion where distance and displacement are same?

no


Is there any example for motion which will have same distance and displacement?

Sure. If the motion is all in a straight line, then the distance and displacement are equal. ==> 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.) ==> 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.


Is the distance covered by body may be greater than the magnitude of the displacement?

"Distance" covered is always greater than the magnitude of the displacement,unless the motion is in a straight line. In that case, distance and displacementare equal. Distance is never less than displacement.

Related questions

Is the displacement of a body same as the actual distance traveled by the body?

yes of course..


Is the distance covered by a body may be greater than the magnitude of displacement?

yes,displacement is the shortest distance covered by a body,so distance covered by a body may be greater than the displacement.


Is the distance covered by a body may be greater than a magnitude of the displacement?

yes,displacement is the shortest distance covered by a body,so distance covered by a body may be greater than the displacement.


How a displacement is zero when a body moves from origen and return to same point?

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


Can displacement be equal to total distance traveled by an object?

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.


Is the distance coveredby body may be greater than magnitude of the displacement?

Yes distance will be equal or more than the magnitude of displacement. Distance cannot be less than the magnitude of displacement in any way. For example if a body goes around a circle completing one full round then distance covered will be the circumference ie 2pi r But displacement is zero. As the starting and stopping point are one and the same, the distance between initial and final is zero.


Can displacement can be zero even when distance is not 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.


How do you convert displacement time graph into distance time graph?

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.


Give an example where displacement is zero but distance is not?

when the body moves circularly from a point 'A' to a then the displacement will be zero(displacement is the shortest diatance from the initial point to final point) and the distance will not be zero.


How are distance and displacement the same?

when the motion is in a straight line.


Is there any example of motion where distance and displacement are same?

no


Is there any example for motion which will have same distance and displacement?

Sure. If the motion is all in a straight line, then the distance and displacement are equal. ==> 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.) ==> 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.