Answer :
Final answer:
Displacement is a vector, defined by both a magnitude (how far) and a direction (which way). Robert's displacement is 175km North of East. To find specific components (East and North), more information, specifically an angle, would be needed.
Explanation:
To find the components of a displacement, we break it down into its horizontal (east-west) and vertical (north-south) components, forming a right triangle whose hypotenuse is the displacement. This question suggests that Robert moved somewhat diagonally, or in a direction 'North of East', implying that he traveled both eastward and northward. If your physics problem involves angles, the typical convention considers East as 0 degrees, and angles are measured counterclockwise from there. Thus, 'North of East' would mean an angle that is less than 90 degrees.
However, the problem doesn't provide the exact angle that the displacement forms with the east, so it's impossible to determine the exact east and north components. If such an angle was provided, you could use trigonometry to find each component. For instance, if the displacement was 175 km at an angle of 45 degrees North of East, you would calculate the northward and eastward components as follows: North Component = 175 km * sin(45) = 123.7 km, East Component = 175 km * cos(45) = 123.7 km.
The actual answer is option (C): The Displacement is 175 km, North of East. However, to find the specific components in the East and North directions, the problem would need to provide more information, specifically the angle at which he was traveling North of East.
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