Question

Why does the magnitude of displacement is not greater than the distance?

Answer 1

Answer:

because displacement is the shortest distance travelled by any object

and the distance is defined as the path used by any object to travel from one place to another place

on the figure above we can see that the the object can travel from any of the path

where the red path is is distance and yellow part is displacement

but the shortest distance travelled by object from A to B is yellow coloured

it implies that, distance can be equal to displacement

distance can be equal to displacement but distance cannot be less than displacement

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 :-

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