Question

For the motion on a straight-line path with a constant acceleration, the ratio of the magnitude of the displacement to the distance covered is

• A. $=1$
• B. $\ge 1$
• C. $\le 1$
• D. $<1$

Answer 1

The correct option is C

$\le 1$

1. Distance is the total path travelled by a body, however, displacement is the shortest path travelled by a body from initial to final position.
2. The magnitude of distance travelled in a given time interval is always greater than or equal to the displacement.
3. It can never be less than displacement.
4. The ratio of the displacement to the distance is equal to or less than one ($\le 1$).

Hence, option C is correct.