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The shortest distance from start to finish.

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14y ago

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The resultant of two displacements is the combination of the two displacements together. It can be found by adding the two displacements vectorially to determine the total displacement from the starting point to the ending point.

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10mo ago
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If we look at two displacement events, we will see a net displacement as a result. Certainly an object can be moved a certain distance, and then moved back. This will result in a net displacement of zero. But in any case, we might want to use a vector to represent each displacement to find a net displacement. Let's look at something simple and easy to see how that vector thing works. Picture a Chess or checker board in front of you on the table. Just the board. Start in the bottom left corner and plot a displacement vector of three squares to the right. We draw an arrow from the very bottom left corner to the right across the bottom of three squares. The starting point is called the "tail" and the end point with the arrow on it is called the "head" of the vector. Got that one? Now we're going to plot a displacement vector three squares up. Draw an arrow from the bottom left corner three squares up. You have two arrows three squares long. Both start in the same place. Those are your two displacement vectors. Now for the trick part. "Pick up" the second vector. You're going to "move" it and "connect" it to the first vector. And you'll put the "tail" of the second vector on the "head" of the first vector. Now look at what you have. The first vector is as it was, but the second vector is at the arrow (the head) of the first vector and goes up those three squares. You've just done a vector addition. You know what's next - draw a third vector from the bottom left corner to the head of the second vector. This third vector will slant up at a 45 degree angle and go to the head of the second vector. This third vector could be called the displacement vector, as it shows you where you end up if you do the two displacements as asked. Simple and easy. Not all displacement vectors will be this simple, but you can plot any one of them just as easily. That is, you can add any two vectors in just this way. Draw the first one and then start the second one where you ended up with the first one. Then draw your third vector from the point of origin to the end point of that second vector. Presto! Your displacement problem is solved! And it's expressed as that third vector. The length of the third vector is the magnitude of the net displacement. With the application of trigonometric functions to each vector, you can find out exactly where you end up, and how far (the displacement) from the point of origin you finish your journey. Very similar to graphing two line segments, which is effectively what you are doing. If you are concerned with the energy expended in this activity, a similar process will allow you to make the calculations necessary to find your answer.

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15y ago
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If we look at two displacement events, we will see a net displacement as a result. Certainly an object can be moved a certain distance, and then moved back. This will result in a net displacement of zero. But in any case, we might want to use a vector to represent each displacement to find a net displacement. Let's look at something simple and easy to see how that vector thing works.

Picture a chess or checker board in front of you on the table. Just the board. Start in the bottom left corner and plot a displacement vector of three squares to the right. We draw an arrow from the very bottom left corner to the right across the bottom of three squares. The starting point is called the "tail" and the end point with the arrow on it is called the "head" of the vector. Got that one? Now we're going to plot a displacement vector three squares up. Draw an arrow from the bottom left corner three squares up. You have two arrows three squares long. Both start in the same place. Those are your two displacement vectors. Now for the trick part.

"Pick up" the second vector. You're going to "move" it and "connect" it to the first vector. And you'll put the "tail" of the second vector on the "head" of the first vector. Now look at what you have. The first vector is as it was, but the second vector is at the arrow (the head) of the first vector and goes up those three squares. You've just done a vector addition. You know what's next - draw a third vector from the bottom left corner to the head of the second vector. This third vector will slant up at a 45 degree angle and go to the head of the second vector. This third vector could be called the displacement vector, as it shows you where you end up if you do the two displacements as asked. Simple and easy.

Not all displacement vectors will be this simple, but you can plot any one of them just as easily. That is, you can add any two vectors in just this way. Draw the first one and then start the second one where you ended up with the first one. Then draw your third vector from the point of origin to the end point of that second vector. Presto! Your displacement problem is solved! And it's expressed as that third vector. The length of the third vector is the magnitude of the net displacement. With the application of trigonometric functions to each vector, you can find out exactly where you end up, and how far (the displacement) from the point of origin you finish your journey. Very similar to graphing two line segments, which is effectively what you are doing.

If you are concerned with the energy expended in this activity, a similar process will allow you to make the calculations necessary to find your answer.

Jang Woona Yeun

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12y ago
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Q: What is the resultant of two displacements?
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Continue Learning about Natural Sciences

A displacement of 9m and another of 6m can b added to give a resultant displacement of?

The resultant displacement would be 15 meters. This is because displacements add up like vectors, following the rules of vector addition.


If two displacement vectors add to yield a total displacement of zero what do you know about the two displacements?

If two displacement vectors add up to zero, it means they are equal in magnitude but opposite in direction. This implies that the two displacements cancel each other out when added together.


What is caused by sudden displacements along fault fissures in the solid and rigid layer of the earth?

Sudden displacements along fault fissures can cause tremors and earthquakes.


Two forces one 500 gf and the other 800gf act upon a body what are the maximum and minimum possible values of the resultant force?

The maximum resultant force occurs when the two forces are acting in the same direction, resulting in 1300 gf (500 gf + 800 gf). The minimum resultant force occurs when the two forces are acting in opposite directions, resulting in 300 gf (800 gf - 500 gf).


How do you find resultant velocity with perpendicular velocities?

To find the resultant velocity from two perpendicular velocities, you can use the Pythagorean theorem. Square each velocity, sum the squares, and then take the square root of the total to find the magnitude of the resultant velocity. The direction of the resultant velocity can be determined using trigonometry, typically with the arctangent function.