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Distance traveled is equal to the magnitude of the displacement vector

when the motion is in a straight line.

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Paul Wyman

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3y ago

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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.


When is distance equal to displacement?

Distance is equal to displacement when an object moves in a straight line without changing direction. In such cases, the magnitude of displacement is equal to the total distance traveled. Displacement is a vector quantity that takes into account both the distance traveled and the direction in which the object moved.


How does distance and displacement differ?

Distance is the total length of the path traveled, while displacement is the change in position from the starting point to the ending point in a straight line. Distance is a scalar quantity, indicating magnitude only, while displacement is a vector quantity, indicating both magnitude and direction.


Is displacement sclar or vector quantity?

Displacement is a vector quantity because it has both magnitude (distance) and direction.


Can there be displacement without any distance being traveled?

Normally displacement means that some distance has been travelled. If you want to get picky, you can say that is you travel in a closed path, the displacement is zero. In such circumstances, when multiple movments are being combined, one makes is clearer by saying that combining several displacements gives the "net displacement." To get even more picky, we can point out that displacement is a vector defined by the separation of two points. The direction of the displacement vector is the direction of the second point relative to the first and the magnitude of the displacement vector is the magnitude of the distance between the two points. So, since displament is a vector and a vector can have zero length, one can say that you have a zero vector of displacement when no distance has been traveled.


How are distance and displacement different?

Distance is the total length of the path traveled by an object, while displacement is the change in position of the object from its initial point to its final point. Distance is a scalar quantity, only having magnitude, while displacement is a vector quantity that includes both magnitude and direction.


What is the differences between from distance and displacement?

Distance is the total length of path traveled by an object, while displacement is the change in position of an object from its initial point to its final point, measured in a straight line. Distance is a scalar quantity, whereas displacement is a vector quantity that includes both magnitude and direction.


What is the difference between scalars and vectors using displacement and distance?

A scalar is a real quantity like distance and a vector is a vector quantity like displacement.Displacement is the product of a distance and a direction,Displacement =DistancexDirection.


The magnitude of a vector represents its?

That depends on what the vector, itself, represents. For example, if the vector represents velocity, then the magnitude of the vector represents speed. If the vector represents displacement, then the magnitude of the vector represents distance.


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.


When 2 vectors are added is the resultant vector a distance or displacement?

The resultant vector of adding two vectors is a displacement vector, not a distance vector. Displacement is a change in position measured from the starting point to the end point, while distance is the total length of the path traveled.


How are displacement and distance similar?

Distance and displacement are similar because both have magnitude.However, displacement is a vector quantity since it has both magnitude and direction whereas distance is a scalar quantity since it has only magnitude.