Displacement same as distance between two

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Hmm, I don't know. How about d? Well, that's a fine symbol for us Anglophones, but what about the rest of the planet? Actually, distance in French is spelled the same as it is in English, but pronounced differently, so there may be a reason to choose d after all. In the current era, English is the dominant language of science, which means that many of our symbols are based on English words used to describe the associated concept. Distance does not fall into this category. Still, if you want to use d to represent distance, how could I stop you?

All right then, how about x? Distance is a simple concept and x is a simple variable. Why not pair them up? Many textbooks do this, but this one will not. The variable x should be reserved for one-dimensional motion along a defined x-axis or the x-component of a more complex motion. Still, if you want to use x to represent distance, how could I stop you? As I said a moment ago, English is currently the dominant language of science, but this has not always been the case nor is there any reason to believe that it will stay this way forever.

Latin was preeminent for a long time, but it is little used today. Still, there are thousands of technical and not so technical words in the English language that have Latin roots. The Latin word for distance is spatium. It's also the source of the English word space. In this book, and many others, the letter s will be used for distance and displacement.

Scalar quantities are italicized. Vector quantities bolded. Imagine some object traveling along an arbitrary path on top of an infinite two-dimensional grid. Place an observer anywhere in space — on or off the path, it doesn't matter. Make the observer's position the origin of the grid. Draw an arrow from the origin to the moving object at any moment. This is our position vector.

It's a vector because it has a magnitude a size and a direction. It starts when the object is at s0. It ends when its at s. Keep imagining our imaginary object traveling along an arbitrary path, but this time ignore the coordinate system. Think about the path the same way you think about traveling on a highway. There is no x or y coordinate on a highway and certainly no z.

No up, down, left, or right. No north, south, east, or west. There is only forward. Coordinates are for sailors or pilots. Distances are for drivers. Locations on highways are indicated with mileposts or milestones. How far down the road have you gone. How much distance have you covered? If you think Latin deserves its reputation as a "dead tongue" then I can't force you to use these symbols, but I should warn you that their use is quite common.

Old habits die hard. The only difference is that the distance is proportional to the speed of an object, which is a scalar and the displacement depends upon the vector product of the velocity, which has a direction too. When distance and displacement are different? If the path in which the object travels is not straight, then the distance and the displacement of an object are different.

The distance is the total length covered. On the contrary, the displacement is a net distance between the line connecting the initial and final coordinates of position. The distance and displacement for the same object will differ if the direction of motion changes.

The distance is measured as the product of the speed of an object and the time taken to cover a particular distance. In comparison, displacement is the product of the velocity of an object propagating in a given direction and the time taken for a displacement. The distance covered by the object will keep on adding, but the net displacement of an object varies continuously if the direction of motion of an object varies.

Upon reaching the boomerang in the hands of the thrower, the displacement becomes zero. Because the boomerang travels in the reverse direction, that is, in the negative axis. Hence, the displacement of an object depends upon the direction of motion of an object, while the distance does not depend upon the direction of motion. Difference between Distance and Displacement The distance is a scalar quantity and defines only the magnitude of the speed.

While the displacement depends upon the direction of speed. The distance is always positive because it measures only the magnitude, while the displacement can be negative, positive, and zero, depending on the direction of propagation. The total distance is the sum of all the path lengths an object covers, while the net displacement between the two points is the length of the line connecting both points. A person practicing with reverse gear takes the car in the reverse direction for m, then drives in a forward direction for m, then again takes the car in the reverse direction for m and moves the car forward for m.

What is the total distance and displacement of a car? The displacement in the forward direction will be positive, while the displacement in the negative direction will be negative. Hence, the net displacement of a car is m. This implies that the driver drove the car 50m extra in the reverse direction. Conclusion The values of both, distance and displacement, will vary for an object in motion if its direction of mobility varies.

Hence, the displacement and distance covered by an object will vary if the direction of motion of an object changes. I have done M.