Answer :
Final answer:
The displacement for the journey, calculated using the Pythagorean theorem, is approximately 10.00km. It is the shortest distance between the start and end point, taking into account the direction.
Explanation:
In the field of Physics, the term displacement refers to the shortest distance between the start and end point, taking the direction into account. Here, the journey consists of two legs: firstly, 6.00km north and secondly, 8.00km west. The displacement can be visualized as the hypotenuse of the right triangle formed by these two distances. Let's use the Pythagorean theorem to find this: (Displacement)^2 = (Distance North)^2 + (Distance West)^2. Substituting the provided values, we get (Displacement)^2 = (6.00km)^2 + (8.00km)^2. Solving this gives us a displacement of approximately 10.00km.
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