Question

The ratio of displacement to distance is ____________

Answer 1

To answer this question, we first need to understand what the ratio is. A ratio expresses the number of times one number appears in another. In a bowl of fruit, for example, if there are eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the proportion of lemons to oranges is 68%, and the proportion of oranges to overall fruit is 8:14.

Complete step-by-step solution:
Displacement - A displacement is a vector in geometry and mechanics whose length is the shortest distance between the initial and final positions of a moving point P. It measures the distance and direction of net or total motion along a straight line from the point trajectory's initial position to its final position. The translation that transfers the initial position to the final position can be used to identify a displacement.
Distance - Distance is a numerical representation of the distance between two objects or points. Distance can refer to a physical length or an estimate based on other criteria in physics or common usage. A distance function, often known as a metric, is a mathematical generalization of the concept of physical distance; it is a way of explaining what it means for elements of a space to be "near to" or "far away" from one another.
So, we conclude that the ratio of displacement to distance is always less than or equal to 1.

Note: The rate of change of an object's position with regard to a frame of reference is its velocity, which is a function of time. A statement of an object's speed and direction of motion is referred to as velocity. In kinematics, the branch of classical mechanics that explains the motion of bodies, velocity is a fundamental notion.