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You can calculate the magnitude of the displacement by using Pythagoras's Theorem.

a2+b2=c2

Let a be 8, b be 6 and c be the magnitude.

8km2+6km2 = c2

64k+36km = c2

100km = c2

10km = c

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Q: A particle moves through a distance of 8 km due east and then 6 km due north Then the magnitude of displacement is how much?
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Related questions

Is it possible that an object which has moved through a distance have 0 displacement?

Yes. Displacement is change in position. If you move through a distance so that your starting position is the same as your stopping position, your displacement, is zero.


Can the distance between two points be zero yet the displacement from one point to the other be nonzero?

No it cannot. The displacement can be zero and the distance nonzero, though. This, due to the fact that displacement takes in account the direction and magnitude, whereas the distance just takes in account the magnitude. For instance, if we were at a classroom, and I went to the bathroom and come back shortly after to the place were I started, my displacement would be 0, even though I traveled a certain distance. A simpler example would be the following: You take roll a ball back and forth, say to the exact position where it started. Through the time the ball rolls back and forth the distance it traveled will be increasing, whereas the direction will be canceling itself every time you go back into the starting point (the origin). Thus, distance does increase, whereas the displacement increases at point 2, and decreases in its way to point 1.


What is displacement in motion?

Shortest distance between the two particular points through which motion is occured.


The application of a force through a distance?

Work = Force * displacement if the displacement and the force are parallel - work is positive if force and displacement are in the same direction, negative if they have opposite direction. At an angle Work = Force * displacement * cos(θ) where θ is the angle between the force and displacement vectors.


Is the resultant displacement the same as the total distance traveled?

Usually no. Say you need to fly to New York from Chicago. The resultant displacement would be the straightline distance between the two cities. But you fly through Atlanta (Everything seems to go through Atlanta). You would end up flying about twice the total distance between the cities.


For any given motion displacement is?

Displacement is a word that describes how much distance an object travels through in a given amount of time. If a person drives a car at 50 miles an hour for one hour, the displacement will be 50 miles.


What is a transfer of energy through matter from particle to particle?

Conduction


What is transfer of energy from particle to particle through matter?

Conduction


Can displacement of an object which has moved through a distance be zero if yes suppot your answer?

The answer is yes. An example which will support my contention is that of the tip of the minute-hand on an old-fashioned 'analog' clock. In the course of one hour's time, the tip of the minute hand traverses a distance equal to the circumference of the clock-face, but its displacement over the period of an hour is zero.


How is work related to force and displacement?

Work is Force multiplied by distance. W=Fd The units of work are Joules (J). We can check the above equation by checking that the units are correct. Below is the unit cancellation for the above equation. J=N*m ( 1 J = 1 N*m. This is the definition of a joule)


How can tell how bright a star really is?

Astronomers define star brightness in terms of apparent magnitude (how bright the star appears from Earth) and absolute magnitude (how bright the star appears at a standard distance of 32.6 light years, or 10 parsecs).


Which kind of particle when passed through an electric field?

An Alpha particle.