To find the distance and displacement of a body that moves 6 km west and 8 km north, we can use the Pythagorean theorem.
The distance is the total length of the path traveled by the body. In this case, we can imagine the body moving west and then north, forming a right-angled triangle. The distance is the hypotenuse of this triangle.
Using the Pythagorean theorem, we can calculate the distance:
Distance = √(6^2 + 8^2) = √(36 + 64) = √100 = 10 km
Therefore, the distance traveled by the body is 10 km.
The displacement, on the other hand, is the straight-line distance from the starting point to the ending point. It does not take into account the actual path taken but rather the shortest distance between the two points.
In this case, the displacement is a straight line from the starting point to the ending point, which forms a right-angled triangle. The displacement is the hypotenuse of this triangle.
Using the Pythagorean theorem, we can calculate the displacement:
Displacement = √(6^2 + 8^2) = √(36 + 64) = √100 = 10 km
Therefore, the displacement of the body is also 10 km.
Both the distance and displacement in this scenario are equal and amount to 10 km.