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Tuesday, September 30th, 2014
Distance and Displacement
Today in class we learned about distance and displacement and we distinguished the differences between them. We also compared them to observe them and to better understand them. Additionally, we also took notes, tested our knowledge on the matter, and talked a little bit about the topic.
So to begin what is distance? Ms.Reid gave us this definition for distance or, "d", which is the variable for distance, distance is "the total length traveled." Sounds pretty straight forward, makes sense right? But that's the notebook definition, what is distance in my own words?
Distance to me is the entire length something has traveled from point A to point B. It is usually always a number with a certain unit describing it. It also is kind of like a measure of travel or how far you have traveled in all. It is the amount of space between two points usually, but sometimes it does not have to be between two points specifically. It can be distance over days in different places. Or between separate sections of travel, distance does not have to be entirely constant. Also, when I think of distance I think of traveling or movement, distance has a fair magnitude too. You usually do not hear about small increments of distance, you usually hear about things like miles and what not when it comes to distance.The unit used for distance is our class is "meters" or "m", but the units can vary, in science the units are usually metric though.
Distance to me is the entire length something has traveled from point A to point B. It is usually always a number with a certain unit describing it. It also is kind of like a measure of travel or how far you have traveled in all. It is the amount of space between two points usually, but sometimes it does not have to be between two points specifically. It can be distance over days in different places. Or between separate sections of travel, distance does not have to be entirely constant. Also, when I think of distance I think of traveling or movement, distance has a fair magnitude too. You usually do not hear about small increments of distance, you usually hear about things like miles and what not when it comes to distance.The unit used for distance is our class is "meters" or "m", but the units can vary, in science the units are usually metric though.
Distance also has a formula: d = t x v (I believe). And you can manipulate this equation to get the equation for other things as well. (T = time and v = velocity, "t" also is usually represented as "delta t" or "change in time"). Finally, distance is a scalar quantity, it has magnitude but no direction. Distance is specifically a scalar quantity and its counterpart is displacement. Maybe it is not exactly a counterpart; but it has what distance does not have, direction. Displacement is a vector quantity that has magnitude and direction.
An example of distance and displacement is say I walk 10 steps forward, what is my distance and what is my displacement?
My distance is 10 steps and my displacement is 10 steps north/forward.
Now, displacement is a little more than just magnitude and direction. While distance is the total amount you travel or the total amount something travels, displacement is "the difference between your starting position and your end position" (by notebook definition). So you could travel a distance of 20 meters, but with displacement 20 meters might not be your answer. You have to worry about direction with displacement and it is the DIFFERENCE (subtraction) of your starting point and your end point.
My distance is 10 steps and my displacement is 10 steps north/forward.
Now, displacement is a little more than just magnitude and direction. While distance is the total amount you travel or the total amount something travels, displacement is "the difference between your starting position and your end position" (by notebook definition). So you could travel a distance of 20 meters, but with displacement 20 meters might not be your answer. You have to worry about direction with displacement and it is the DIFFERENCE (subtraction) of your starting point and your end point.
If I go 10 steps north then 5 steps south, what is my displacement?
Well, the difference between 10 - 5 is 5. And with displacement I keep the bigger magnitude's direction so 5 north. (Little arrows are used with the notation, but I do not know about them too well yet and for now it is best that I keep it simple).
Displacement to me is change in position and/or the difference of position. For some reason my grasp on it is weird, but I understand the basic idea of it. The variable for it is "delta x" or "change in position." The unit used for it is also meters. And unlike distance, displacement can be negative! And again, it asks for the difference, not the total which are opposites.
Examples in the Real World
Honestly there are so many examples of each quantity, but today and every day I travel a distance to the school and back. I am also told my distance traveled on a treadmill. We see cars travel a certain distance, etc. Every day we travel a certain distance, but our displacement is a little different.
When I think of displacement I think of sometimes being in formation during JROTC. Sometimes the cadets need to step forward or backward a certain amount and we have similar displacements so that we can order ourselves properly. I also think of traveling back and forth between places like from my home to school. Board games also have displacement like when you choose a card and have to take a few steps back. Also, remember in all of these examples the objects or people need to travel a certain distance and it all needs to travel in a certain way. In a board game, I cannot just send my piece four steps forward, the game card usually tells me to go four steps backwards and/or forwards or something.
Distance in real life is also observed in traffic and in other scenarios, displacement is seen a lot in similar scenarios but also in the sea and in the mountains. People can descend far down or ascend high up.
Today specifically I probably added up a huge distance of walking between classes, but a small displacement depending on my position and what not.
Buonasera amici! :D
(ALSO: Note to myself (try to study distance and displacement a bit more), I love Khan Academy and it has great physics videos so do use their website if you are still confused about anything for whatever reason). KA: https://www.khanacademy.org/science/physics + https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/v/introduction-to-vectors-and-scalars
KA's videos are pretty simple and helpful, they're also fairly short depending on what you watch so I personally encourage others to use it and other resources if they need to. I can help navigate on there if any one would like help with that, but I am sure many people are already familiar with it.
--Ooviya
Buonasera amici! :D
(ALSO: Note to myself (try to study distance and displacement a bit more), I love Khan Academy and it has great physics videos so do use their website if you are still confused about anything for whatever reason). KA: https://www.khanacademy.org/science/physics + https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/v/introduction-to-vectors-and-scalars
KA's videos are pretty simple and helpful, they're also fairly short depending on what you watch so I personally encourage others to use it and other resources if they need to. I can help navigate on there if any one would like help with that, but I am sure many people are already familiar with it.
--Ooviya