Question

A body is moving along a straight line path with constant velocity. At an instant of time the distance travelled by it is $s$ and its displacement is $D$, then

• A. $D<s$
• B. $D>s$
• C. $D=s$
• D. $D\le s$

Answer 1

The correct option is C

$D=s$

Step 1. Given data

Velocity is constant.

Distance is $s$

Displacement is $D$

Step 2. Finding the relation between distance and displacement

1. Distance is the total movement of an object without any regard to direction. Distance is a scaler quantity as it has only magnitude.
2. Displacement is the change in the position in a particular time interval. Displacement is a vector quantity as both the direction and the magnitude are included in it.
3. Since velocity is constant then the motion will be in a straight line. If velocity is constant then the distance will be equal to the displacement.

Hence, $D=s$

Hence, the correct option is $\left(C\right)$.