Question

what is the condition of a motion of a body in which the ratio of the distance to the displacement is equal to the one

Answer 1

When an object moves from point A to point B, when measuring the displacement it does not matter what path it followed: you simply measure the distance between point A and B. This means that in order for the distance to equal the displacement, the object has to move in a straight path. With this condition, the distance travelled equals the displacement and therefore the ratio between the two is 1.

Answer 2

When the ratio of distance to displacement in one , then distance is equals to displacement and the body is moving in a straight line.
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