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.
The ratio is 1.
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.
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.
Distance is scalar. Displacement is a vector.
After traversing 1/2 of a circular track with radius 'R', the body has effectively moved from one end of a diameter to the other end of the same diameter. The distance traveled is 1/2 the circumference = (pi)D/2 = (pi)R. The displacement is D = 2R. The ratio of displacement to distance = (2R)/(piR) = 2/pi= 0.63662 (rounded), independent of 'R'.
Displacement is just distance traveled and a direction. For example 40m east is a displacement distance
Distance and displacement can be the same only if an object moves in a straight line from its starting point and the displacement is measured along that line. In such cases, the magnitude of the displacement is equal to the distance traveled.
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.