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  1. Let's learn how to calculate displacements from v-t graphs. We will see why the area under the v-t graph gives displacement. Created by Mahesh Shenoy.

  2. Displacement is the shift in location when an object in motion changes from one position to another. A displacement may also be described as a relative position (resulting from the motion), that is, as the final position x f of a point relative to its initial position x i.

  3. Let $\theta_{1}$ be the angle of the ruler (rotation in terms of the screen from the system) and $\theta_{2}$ be the angle of the user's drawn line (atan2($\Delta y, \Delta x)$ between start and end point). The displacement should be negative when $\|\theta_{2}-\theta_{1}\|>\frac{\pi}{2}$

  4. displacement: the zero vector ~0 such that ~a + (~a) = ~0 = (~a) + ~a and ~a+~0 = ~a, for any ~a. The other key operation that characterizes vectors is multiplication by a real number 2R.

  5. $$\ell = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$$ Direction. In order to compute a kind of bearing from the difference between two locations, you'd most likely want to orthogonally project the displacement vector onto a plane tangent to the surface of the earth at your current location.

  6. The displacement is simply the difference in the position of the two marks and is independent of the path taken when traveling between the two marks. The distance traveled, however, is the total length of the path taken between the two marks.

  7. Distance is a scalar quantity representing the interval between two points. It is just the magnitude of the interval. However, Displacement is a vector quantity and can be defined by using distance concept. It can be defined as distance between the initial point and final point of an object.

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