What is the difference between displacement and distance?

Let's suppose tomorrow we want to go to the Moon. There's many different paths that we can choose from to get there: we can depart from Earth, go around the Sun and land on the Moon or we can go all the way around another galaxy and land on it. The distance is a scalar quantity, it's the amount of space between two points (the Earth and the Moon in our example) measured along the path linking the two points. Distance is always positive. The distance measured when going around the galaxy will be way more greater than going around the sun.The displacement instead does not care about the path chosen, displacement cares only about the initial and final position. Displacement is a vector quantity and therefore sign sensitive (it can be positive or negative). It is defined as the final position minus the initial position. How can we visualise displacement? The best way is to use a reference frame, with a origin and the positive x axis going to the right. Let's define our starting point the origin. If we move along the x axis in the positive direction up to the point x=5, our displacement will be: final position- initial position=5-0=5 POSITIVE DISPLACEMENT. If we instead move to the left up to a point x= -3, our displacement will be: final position-initial position= (-3) - 0= -3 NEGATIVE DISPLACEMENT.

Answered by Elvira C. Physics tutor

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