The ratio of distance to displacement is always equal to or greater than 1. This is because distance will always be equal to or greater than displacement, as distance is the total length of the path traveled while displacement is the difference between the final and initial positions.
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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.
The ratio of the magnitudes of distance and displacement is always equal to or greater than 1. This is because distance is a scalar quantity that represents the total length of the path traveled, while displacement is a vector quantity that represents the straight-line distance between the initial and final positions.
The numerical ratio of displacement to distance for a moving object is 1 when the object moves in a straight line in a single direction. This means that the displacement is equal to the distance traveled. If the object moves in a more complex path, the ratio may vary depending on the trajectory.
The ratio of the distance covered to the displacement of a particle moved along a semi-circle of radius r is π. This is because the distance covered around the semi-circle is the circumference (2πr), while the displacement is the diameter of the circle (2r). The ratio is therefore (2πr) / (2r) = π.
The numerical ratio of displacement to distance for a moving body is equal to or greater than 1. This is because displacement is the shortest distance between the initial and final positions of the body, while distance is the total length of the path traveled by the body. In cases where the body moves in a straight line, the displacement and distance are equal, resulting in a ratio of 1.