To find the direction, we need to use trigonometry. The angle between the north and west directions is 90 degrees, and the angle between the west and south directions is also 90 degrees. Therefore, the angle between the north and south directions is 180 degrees.

A Displacement Calculator is a tool used to calculate the displacement of an object, which is the distance and direction from its initial position to its final position. Displacement is a vector quantity and is represented by a vector arrow pointing from the initial position to the final position of the object. Displacement calculators are commonly used in physics and engineering to calculate the displacement of objects in motion, such as cars, airplanes, and spacecraft. They are also used in navigation to calculate the displacement of ships, planes, and other vehicles relative to a fixed reference point.

So, in summary, distance is a measure of how much ground an object has covered, while displacement is a measure of how far out of place an object is.

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Displacement is a vector quantity in physics that indicates the shift in position of an object with respect to its starting point. This measure is calculated as the shortest distance between the initial and final points of an object's motion and can be obtained by subtracting the initial position vector from the final position vector. Unlike speed or velocity, which describe how fast an object is moving, displacement is concerned with the actual distance the object has traveled, independent of the path it took to reach its destination. It is a valuable metric for measuring the net movement of an object over a specific period of time.

Displacement and distance are related but distinct concepts in physics and mathematics. Displacement refers to the change in position between two points, while distance refers to the total length of the path traveled. Displacement is a vector quantity and includes direction, while distance is a scalar quantity and only reflects the magnitude of the path traveled.

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The car's total displacement can be found by finding the net distance and direction from its starting point to its final point. Using the Pythagorean theorem, we can find the net distance:

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The resulting displacement value will have the same units as the position values (such as meters or feet). If the object moves in a straight line and changes direction at some point during its motion, you will need to take into account the direction of the displacement (positive or negative) to fully describe the motion.

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In this formula, "Δx" represents the displacement, "xf" represents the final position, and "xi" represents the initial position. The units of displacement are typically the same as the units of distance, such as meters (m) or feet (ft).

To find the direction, we need to use trigonometry. The angle between the north and west directions is 45 degrees, and the angle between the west and south directions is also 45 degrees. Therefore, the angle between the north and south directions is 90 degrees.

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Displacement is a measure of the overall change in position of an object, and it is calculated as the difference between the final position and the initial position of the object. The formula for calculating displacement is:

To find the runner's displacement, we need to find the net distance and direction from their starting point to their final point. Using the Pythagorean theorem, we can find the net distance: