Question

Explain distance and displacement with illustration and state the charalerstics of displacement and distance

Answer 1

Hi here is what you are looking for

Distance and displacement are two quantities that may seem to mean the same thing yet have distinctly different definitions and meanings.

Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Characteristics of displacement are:

1) Displacement has unit of length

(2) The displacement of an object in a given time interval can be positive, zero or negative.

(3) The displacement of an object between two points does not tell the type of motion following by object between those two points.

Characteristics of distance are:

(1) The distance of an object has the unit of length

(2)The distance of an object in a given interval of time is always positive.

(3)The distance traveled by an object can never be zero.

(4)The actual distance traveled by an object in a given time interval can be equal to or greater than the magnitude of displacement.It can never be less than the magnitude of displacement.

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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 :-

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