Question

Explain why the distance travelled by a body is always greater than or equal to the magnitude of its displacement

Answer 1

Technically, displacement is the shortest distance between any two points but displacement is always equal to the distance travelled or less than from distance travelled because displacement is a vector quantity and the displacement of a body is the shortest distance between initial and the final positions of the body whereas the distance travelled by a moving body is actual length of the path covered by the body irrespective of the direction. The distance travelled is a scalar quantity and distance travelled is always positive but displacement may be positive negative or zero

Answer 2

$\bigstar$Yes , 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 :-

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