Yes, because the distance is a metric which is defined in that way.
Measurement always deals with a distance of a line or a distance between to objects, distance between 2 points, and so on.
yes. for all positive, distinct numbers greater than 0
The sum of two decimal numbers greater than 0.5 will always be greater than 1
Yes. Every line has an infinite number of distinct points.
No. It has to lie in between -1 an +1 inclusive. Cos x = adjecent/hypotenuse and for cos x to be greater than 1, you need the adjacent to be bigger than the hypotenuse. The hypotenuse is always the biggest side.
Yes, because the distance is a metric which is defined in that way.
Not necessarily. The distance between (0.0) and (0.5, 0.5) = 0.7071 (approx).
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.
No, the output distance is not always greater than the input distance. It depends on the specific situation and factors involved.
No, distance is not always greater than or equal to the magnitude of displacement. Distance measures the total path length traveled, while displacement is the straight-line distance between the initial and final positions. In some cases, especially with curved paths, the distance can be greater than the displacement.
The magnitude of the displacement is always equal to or greater than the distance traveled. This is because the magnitude of displacement is the shortest distance between the initial and final positions, while distance traveled is the total length of the path taken.
In an inclined plane, the mechanical advantage (MA) is always less than 1 because the input force needed to lift an object is greater than the output force. This is due to the trade-off between the distance over which the force is applied (input distance) and the vertical distance the object is lifted (output distance). The ideal mechanical advantage (IMA) assumes a frictionless system and is calculated based on the ratio of input distance to output distance, resulting in a value always greater than the AMA.
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.
Distance is the total length of the path traveled between two points, while displacement is the direct line distance between those points. Distance can be equal to or greater than the magnitude of displacement if the path followed is not a straight line.
"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.
Moving an object a greater distance does not necessarily require a greater amount of work. Work is calculated based on the force applied and the distance moved in the direction of the force. So, if the force decreases as the object moves a greater distance, the work done may not necessarily increase.
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