Question

why is magnitude of the displacement is not always equal to the distance travelled​

Answer 1

Hello

magnitude of displacement :

it is the shortest path covered.

magnitude of distance :

only the actual path covered.

take for ex

two points A & B as shown below :-

1. A~~~~~~~~~B

2. A------------------B

1st case is of distance as just randomly going in any direction to reach to point B

2nd case is of displacement as it the shortest way to go to B

I hope u understood...

have a nice day ahead.✌️

Answer 2

Answer:

$\bigstar$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 :-

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