The correct option is
C May be positive as well as negative.
Explanation of correct option:
C: May be positive as well as negative.
- The displacement of an object is the shortest distance between the initial and final point of its path.
- It can have either positive or negative values.
- It is a vector quantity.
- It has both magnitude and direction.
- Displacement may be negative or positive depending upon which direction we choose, positive or negative.
- A positive displacement would mean moving up, forward, or to the right.
- A negative displacement would mean moving down, backward, or to the left.
Explanation of incorrect option:
A: Is always positive.
- Displacement may be negative or positive, depending upon which direction. We can not say only always positive.
B: Is always negative.
- Displacement may be negative or positive, depending upon which direction. We can not say only always negative.
D: Is neither positive nor negative.
- Displacement may be negative or positive, depending upon which direction. We can not say displacement Is neither positive nor negative.
Thus, A displacement May be positive as well as negative.