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Why does distance have to be equal or greater than displacement?
Distance is the total path length traveled by an object, while displacement is the straight-line distance between the initial and final positions, considering direction. Since displacement represents the shortest possible path between two points, the distance covered must always be equal to or greater than this straight-line measure. This is because any deviation from a straight path, such as curves or changes in direction, increases the total distance traveled without reducing the displacement. Thus, by definition, distance cannot be less than displacement.
Why the ratio of displacement to distance is never greater than 1?
The technical answer is that displacement is the vector sum of the distances. An example to illustrate the difference in less technical terms, distance travelled in one direction added to the same distance in the opposite direction will result in the total distance being twice the distance of each leg but the total displacement is 0.
Does an odometer in a car measure distance or displacement?
Distance
Under what condition the distance and displacement are equal?
The magnitude of displacement is equal to distance traveled when motion is in a straight line.
What is the difference between the distance vs displacement?
Shortest distance is called displacement . displacement =average velocity / average time . It is a vector quantity both has magnitude and direction.But,distance is a scalar quantity having only magnitude.
Is Distance is always less than or equal to the magnitude of the displacement true?
That depends on what distance you are measuring.
Is the magnitude of displacement greater than or equal to the magnitude of the distance traveled?
In general, the magnitude of displacement can be either greater than, equal to, or less than the magnitude of the distance traveled. This depends on the specific path taken by the object. If the path involves any changes in direction, the displacement can be shorter than the distance traveled. If the object moves in a straight line, the displacement and distance traveled will be equal.
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.
Are distance and displacement equal in magnitude?
Not necessarily. Distance is the total length of the path traveled, while displacement is the direct line from the starting point to the ending point. Displacement can be less than, equal to, or greater than distance depending on the path taken.
Is displacement always equal to distance?
No, displacement and distance are not always equal. Distance measures the total length traveled regardless of direction, while displacement measures the change in position from start to end point, including direction. Displacement can be less than, equal to, or greater than distance depending on the path taken.
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.
Distance is always less than or equal to the magnitude of the displacement. true or false?
True. Distance is the total length of the path traveled, while displacement is the direct line from the starting point to the ending point. Therefore, the distance can never be greater than the magnitude of the displacement.
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.
An object (say car) goes from one point in space to another .After it arrives to its destination its displacement is ( ) than the distance it travelled?
No. The "displacement" is the difference in position, which is not the same as the distance traveled.
Is it true that distance is always greater than an equal to the magnitude of the displacement?
Not always. Distance is a scalar quantity that represents the total length of the path traveled, while displacement is a vector quantity that represents the shortest path between two points with direction. Usually, distance is greater than or equal to displacement, but in cases where the path taken is not straightforward, distance can be 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.
What modulus of the ratio distance to displacement is always which unit?
The modulus of the ratio of distance to displacement is always less than or equal to 1, as displacement is the shortest distance between two points. The unit for this ratio is dimensionless, as it is a pure number without units.
