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Q: Why does distance have to be equal or greater than displacement?
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Is the magnitude of displacement greater than or equal to the magnitude of the distance traveled?

Displacement can be equal to distance traveled or less, depending on the shape of the route, but it can never be greater than the distance traveled.


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.


Is the distance covered by body may be greater than 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.


Is distance always greater than or equal to the magnitude of the displacement?

Yes it is. Good work.


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.


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 it possible to displacement to be greater than distance?

Not possible. The displacement could be equal to the distance traveled ... if the route of travel was a straight line ... or less than the distance traveled ... if the route of travel was wavy and wiggly. But you can never wind up farther from your starting point than the distance you travel.


What is the relation between magnitude of distance and displacement?

-- Distance is a scalar quantity, whereas displacement is a vector. -- Distance is the integral of magnitude of displacement. -- Magnitude of displacement is always less than or equal to distance. -- The two quantities are equal when the motion is in a straight line.


What is the ratio of magnitudes of distance and displacement?

There's no firm relationship between the magnitudes of distance and displacement, except that displacement can never be greater than distance. So if you're looking for a ratio, I guess (distance)/(displacement) = or > 1


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.


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 Distance is always less than or equal to the magnitude of the displacement true?

That depends on what distance you are measuring.