Question

multiple-choice question in our every day life, which of the following is usually true? it always varies--there is no usual distance < displacement distance > displacement distance = displacement rewatch

Explanation:

To solve this, we recall the definitions:

• Distance is the total length of the path traveled.
• Displacement is the straight - line distance from the initial to the final position (a vector quantity, magnitude is shortest path).

In daily life, objects rarely move in a perfectly straight line (e.g., a taxi taking a route with turns, a person walking with detours). So the path length (distance) is usually longer than the straight - line displacement.

• Option 1: “it always varies--there is no ‘usual’” is incorrect. There is a usual relationship (distance ≥ displacement, with equality only for straight - line motion).
• Option 2: \( \text{distance}<\text{displacement} \) is incorrect. Distance is the path length, displacement is the shortest path, so distance can't be less than displacement.
• Option 3: \( \text{distance}>\text{displacement} \) is correct. Since non - straight - line motion is common, the path length (distance) is typically greater than the straight - line displacement.
• Option 4: \( \text{distance}=\text{displacement} \) is only true for straight - line motion, which is not “usual” in daily life.

Answer:

C. distance > displacement (assuming the options are labeled as A: it always varies--there is no "usual", B: distance < displacement, C: distance > displacement, D: distance = displacement)