Question

Displacement and distance are not always equal in magnitude justify the statement

Answer 1

Let us take two points A and B apart by 1 km, then the distance of 1 km is from both the ways, i.e. from A to B or from B to A. When we talk of displacement, there is always a reference point with respect to which the displacement is count (or considered). If a particle moves from point A to point B in above case, then the displacement is 1 km from point A to point B, but not the other way, i.e. from point B to point A. Thus displacement is always with respect to a reference point while distance may be either way.

Answer 2

$\bigstar$Distance is always greater than or equal to the displacement of an object

$\huge \sf Displacement$

Displacement is the shortest distance between two points. And as we know the shortest distance between two points is always a straight line (this may not be applicable in the case of a larger distance because it is a globe and so the shortest distance is a curved line)

$\huge \sf Distance$

Distance is the measure of the whole path covered by an object between any two points.

$\huge \sf{}Conclution$

As we can see from the definition, the shortest path cannot be larger than the whole path travelled and if we tell that the statement is false the. it would be like telling that a part is greater than the whole. And sometimes the distance and the displacement can be the same when the distance travelled is also a straight line

That is :-

$\huge \boxed{ \red{ \fbox{ \pink{ \sf displacement \: \leqslant distance}}}}$