Physics

Physics

Problem

A tree is 40 m40\,m east of a house when the house is taken as the reference point. A new reference point is chosen at a road crossing located 10 m10\,m west of the house. a. (i) State the position of the tree with respect to the new reference point. b. (ii) Will the distance between the tree and the house change because of the new reference point? Give a reason in one sentence.
Intuitive explanation

The key insight here is that reference points are arbitrary—what matters is relative position. When you shift your origin (where you measure from), every object's coordinate changes by the same amount. Think of it like moving the zero mark on a ruler: the tree's actual location in space doesn't change, but its distance from your new measuring stick does. You'll need to account for the westward shift of your new reference point to find the tree's position in this new coordinate system.

Intuitive explanation

The key insight here is that reference points are arbitrary—what matters is relative position. When you shift your origin (where you measure from), every object's coordinate changes by the same amount. Think of it like moving the zero mark on a ruler: the tree's actual location in space doesn't change, but its distance from your new measuring stick does. You'll need to account for the westward shift of your new reference point to find the tree's position in this new coordinate system.

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