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Topic: Displacement (distance)


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  The Physics Classroom
Distance and displacement are two quantities which may seem to mean the same thing, yet they have distinctly different meanings and definitions.
Displacement is a vector quantity which refers to "how far out of place an object is"; it is the object's change in position.
To understand the distinction between distance and displacement, you must know their definitions and you must also know that a vector quantity such as displacement is direction-aware whereas a scalar quantity such as distance is ignorant of direction.
www.physicsclassroom.com /Class/1DKin/U1L1c.html   (489 words)

  
 Distance & Displacement
In terms of distance, quite far (the circumference of the earth's orbit is nearly one trillion meters), but in terms of displacement, not far at all (zero, actually).
Distance and displacement are said to be isotropic, that is, they remain unchanged even if the coordinate system undergoes translation or rotation.
The distance from the sun to Mars is 1.5 AU; from the sun to Jupiter, 5.2 AU; and from the sun to Pluto, 40 AU.
hypertextbook.com /physics/mechanics/displacement   (1943 words)

  
 Distance and Displacement
Distance and displacement are two quantities which in common conversation are often used interchangeably.
With these definitions, distance can be formally defined as the length of the path from A to B, where A and B represent the initial and final points.
Displacement is a vector directed from A to B, with a magnitude given by the length of the straight line connecting A and B. Example: Suppose Rex Tangle walks 4 m East, 2 m North, and finally 4 m West.
www.csulb.edu /~rtoossi/PhysicsBook/book/Chap05-Motion/distance&displacement/distance.htm   (453 words)

  
 Control object positioning using jerk, current and time optimized control profiles - Patent 6873490
The method of claim 3, wherein the control profile of the determining step is further determined in relation to a coast distance and a coast time, characterized as a displacement distance and an elapsed time, respectively, during which the control object coasts at a maximum velocity toward the destination position.
The apparatus of claim 16, wherein the reference generator further determines the control profile in relation to a deceleration distance and a deceleration time, characterized as a displacement distance and an elapsed time, respectively, during which the control object is decelerated to the destination position.
The acceleration distance is characterized as a displacement distance over which the control object is accelerated, and the acceleration time is characterized as an elapsed time during which the control object is accelerated.
www.freepatentsonline.com /6873490.html   (5529 words)

  
 SparkNotes: SAT Physics: Displacement
The displacement of an object that moves from point A to point B is a vector whose tail is at A and whose tip is at B.
Yet, as we have discussed, displacement is a vector quantity that measures the distance separating the starting point from the ending point: the path taken between the two points is irrelevant.
Note that, because displacement is a vector quantity, it is not enough to say that the displacement is 100 meters: you must also state the direction of that displacement.
www.sparknotes.com /testprep/books/sat2/physics/chapter5section1.rhtml   (584 words)

  
 SparkNotes: SAT Physics: Explanations
Displacement is a vector quantity that measures the distance between the starting point and ending point, not taking the actual path traveled into account.
Statement I refers to distance, not displacement, since the five-mile distance is along a winding road and does not describe a straight-line path.
The altitude of a town is a measure of the straight-line distance between the town and sea level.
www.sparknotes.com /testprep/books/sat2/physics/chapter5section8.rhtml   (779 words)

  
 Displacement (vector) - Wikipedia, the free encyclopedia
In Newtonian mechanics, displacement is the vector that specifies the position of a point or a particle in reference to an origin or to a previous position.
When the reference point is the origin of the chosen axis-system, the displacement vector is better referred to as the position vector, which expresses position by the straight line directed from the origin to the current position (as opposed to the scalar quantity distance which expresses only the length).
The SI unit for either distance or the displacement magnitude is the meter.
en.wikipedia.org /wiki/Displacement_(distance)   (267 words)

  
 FAQs   (Site not responding. Last check: 2007-11-06)
Distance is the usual measurement you make when you measure the length of a path from one point, or position, to another.
Distance is always a positive number with units of meters, in the SI unit of physics, or feet, in the archaic British system.
The magnitude of the displacement, which is the displacement without regard to algebraic sign, is always equal to the straight-line distance between the final and initial positions.
acad.udallas.edu /physics/GP1/faqs.htm   (4540 words)

  
 Dummies::Physics — Displacement and Velocity
The displacement, defined as the change in position of the object, is a vector with the magnitude as a distance, such as 10 miles, and a direction, such as east.
Note that displacement (distance from starting position) is not the same as distance traveled.
Displacement is measured in units of length, such as meters or kilometers, and velocity is measured in units of length per time, such as meters/second (meters per second).
www.dummies.com /WileyCDA/DummiesTip/id-2279.html   (231 words)

  
 Position and displacement   (Site not responding. Last check: 2007-11-06)
The displacement of an object is defined as the vector distance from some initial point to a final point.
It is therefore distinctly different from the distance traveled except in the case of straight line motion.
The distance traveled divided by the time is called the speed, while the displacement divided by the time defines the average velocity.
hyperphysics.phy-astr.gsu.edu /hbase/posit.html   (155 words)

  
 kin1dtxt
The confusion comes when these terms, distance traveled and displacement, are used interchangeably, an honest error given that in some cases both quantities are numerically equivalent.
In the meander above, the displacement is represented by an arrow that extends from the tail of the first vector mentioned to the head of the last.
Occasionally we are concerned not only with the magnitude of a displacement or distance traveled, but also with the time elapsed for the trip.
wshs.wtvl.k12.me.us /~physics361/mechanics/kin1dtxt.html   (1409 words)

  
 Distance and Displacement
Yet when she is finished walking, she is not "out of place" - i.e., there is no displacement for her motion (displacement = 0 m).
Displacement, being a vector quantity, must give attention and regard to direction.
To understand the distinction between distance and displacement, you must know the definitions and also know that a vector quantity such as displacement is direction-aware and a scalar quantity such as distance is ignorant of direction.
www.glenbrook.k12.il.us /gbssci/phys/Class/1DKin/U1L1c.html   (500 words)

  
 Justin Rogers : Math Quickie: Relationship between arc distance and linear distance.
Displacement takes into account the sign or direction of movement while distance removes the sign or direction to provide a different measurement.
At the extremes the distance travelled becomes larger because we are moving along the x-axis at a fixed rate and along the y-axis at a variable rate.
In that case the distance of the two legs is equal to the length of the hypoteneuse.
weblogs.asp.net /justin_rogers/archive/2004/08/23/218788.aspx   (1186 words)

  
 Vehicle/aircraft security system based on vehicle displacement profile, with optional GPS/cellular discrimination ...
Specifically, a hood transducer first measures the distance between the hood transducer and the ground when the vehicle is initially parked (the "initial value") and the measurements are periodically taken to measure the same distance at a later time (the "current value").
It is the calculation of the displacement profile, and the comparison of the calculated displacement profile with predetermined profiles that increases the "accuracy" of the alarm of the present invention.
The initial distance measured by the ultrasonic sensor system 100 is utilized as a reference point to detect and analyze the rate-of-change of displacement over time, and the direction of displacement of the vehicle, once the vehicle is parked and the security system activated.
www.freepatentsonline.com /RE38378.html   (5685 words)

  
 Physics 30: Kinematics and Dynamics - Distance and Displacement   (Site not responding. Last check: 2007-11-06)
Displacement is the change in position of an object in a specified direction.
Distance (d), a measure of length, is a scalar quantity for which direction is not specified.
The SI unit for position, distance, and displacement is the metre (m).
www.sasked.gov.sk.ca /docs/physics/u1c3phy.html   (288 words)

  
 Displacement operators
Incidentally, this determines the displaced kets to within a single arbitrary phase-factor to be multiplied into all of them.
The displaced kets cannot be multiplied by individual phase-factors, because this would wreck the superposition relations.
It is clear that the displacement operator is undetermined to an arbitrary imaginary additive constant.
farside.ph.utexas.edu /teaching/qm/lectures/node27.html   (533 words)

  
 [No title]
Find the total distance traveled by a body and the body's displacement for a body whose velocity is v (t) = 6sin 3t on the time interval 0
To find the distance traveled, we need to find the values of t where the function changes direction.
Find the total distance traveled by a body and the body's displacement for a body whose velocity is v (t) = 49 - 9.8t on the time interval 0
faculty.eicc.edu /bwood/math150supnotes/supplemental32.htm   (383 words)

  
 What is displacement? - a definition from Whatis.com - see also: length, distance   (Site not responding. Last check: 2007-11-06)
Displacement (symbolized d or s), also called length or distance, is a one-dimensional quantity representing the separation betwen two defined points.
For example, we might speak of the distance between the center of the earth and an orbiting satellite, and measure it as 13,000,000 meters.
Other examples of nonlinear displacement include the circumference of a subatomic particle, the actual length (as opposed to the straight span) of a sagging rope, or the length of wire that comprises a coil.
whatis.techtarget.com /definition/0,,sid9_gci555460,00.html   (259 words)

  
 Net Displacement Analysis of Animal Movement
The distance from the starting to the end point should be measured with a ruler (net displacement).
Measure the distance traveled in each 20 second intervals and draw the movement patterns of worms on the attached sheet of graph paper.
The distance from the starting to the end point should be measured with a ruler on the graph paper and on the ground (net displacement).
www.science.siu.edu /long-term/lessons/netdisp.HTM   (1022 words)

  
 Motion   (Site not responding. Last check: 2007-11-06)
Displacement describes the direction of motion of the object.
Since your distance traveled (or your displacement) depends upon the elapsed time, distance (displacement) is the dependent variable (graphed on the y-axis) and time is the independent variable (graphed on the x-axis).
On a distance vs time graph, a line of constant slope indicates that the object is moving at constant speed (velocity).
www.ship.edu /~sagoul/motion.htm   (866 words)

  
 Lecture 9/22   (Site not responding. Last check: 2007-11-06)
Displacement is larger or equal to distance traveled.
Displacement is the difference in position between final and initial position.
Average velocity is defined as the displacement divided by the time interval over which the displacement took place.
galileo.harvard.edu /galileo/course/lectures/lect02.html   (782 words)

  
 Position and Displacement
A convenient way to represent a vector object in a drawing is to use a straight line with an arrowhead at one end.
The position vector of a point P with coordinates (a, b, c) is the displacement vector from the origin to P. It may be written in terms of its components as P = ai + bj + ck.
The magnitude of the resultant displacement vector is (260-175) miles = 85 miles.
electron9.phys.utk.edu /phys135d/modules/m1/position.htm   (861 words)

  
 Conversions
Speed and distance are both scalars, they have no direction because when you calculate them, direction is not important.
Velocity and displacement are both vectors; they have direction, and it is very important.
...and his displacement is 10 km in the direction of his school (note that the direction must be stated for vector quantities, unless it's 0).
library.thinkquest.org /C006319F/Binh/speedvelmom.html   (1422 words)

  
 Angular displacement - Wikipedia, the free encyclopedia
Angular displacement of a body is the angle in radians through which a point or line has been rotated in a specified sense about a specified axis.
Angular Displacement is measured in radians rather than degrees.
This is because it provides a very simple relationship between distance traveled around the circle and the distance r from the centre.
en.wikipedia.org /wiki/Angular_displacement   (580 words)

  
 Displacement - Outline   (Site not responding. Last check: 2007-11-06)
Introduce the scalar components of the displacement vector as the changes in the x and y coordinates as one goes from one point to another.
Illustrate these changes, i.e., the scalar components of the displacement vector graphically as lines starting at the tail end of the displacement vector that can be moved along with the displacement vector.
System draws displacement vector from first to second point and calculates its scalar components as the difference of the coordinates of the two points.
www.ucalgary.ca /~alphy/MAP/workinprogr/Dis/ItemDescr.htm   (418 words)

  
 Chapter 2 Velocity
Look around you, and you will find that almost everything is in motion: flying birds, running people, falling books, etc. We will analyze their motions and think about how fast the object moves and how far.
When you traveled 50 km to the East and then 20 km to the West, the total distance you traveled is 70 km, but your displacement is 30 km East.
The area below the line represents the displacement the object traveled since it can be calculated by xy, or (time * velocity) which equals to displacement.
library.thinkquest.org /10796/ch2/ch2.htm   (422 words)

  
 Distance - Outline   (Site not responding. Last check: 2007-11-06)
Distance traveled is an integrating concept and as such an understandable first example of integrals as a sum of many small terms.
Here, we are only calculating the distance as the magnitude of the displacement (Pythagoras).
Introduce Distance Traveled as sum of small distances along trajectory, magnitudes of infinitesimal displacements.
www.ucalgary.ca /~alphy/MAP/workinprogr/Dist/ItemDescr.htm   (228 words)

  
 GameDev.net - 5. Force and Motion
Displacement can be thought of as distance, but displacement is a vector, and distance has only a magnitude.
If you fly your fighter plane 300 miles to Chicago on a straight road, then your displacement has a magnitude of 300, as well as your distance.
If you flew from home to Chicago and then right back home, you have travled a distance of 600 miles, but your displacement has a whopping magnitude of 0.
www.gamedev.net /reference/articles/article437.asp   (1555 words)

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