A trekking team must reach a hut that lies east and north of their camp

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A trekking team must reach a hut that lies 6 km6\,\text{km} east and 8 km8\,\text{km} north of their camp. They consider two possible routes: Route 1: Walk 6 km6\,\text{km} due east, then 8 km8\,\text{km} due north. Route 2: Take a straight trail directly to the hut. (i) Calculate the total distance for Route 1. (ii) Calculate the distance for Route 2. (iii) State the magnitude of the displacement for each route. (iv) Which route involves travelling the shorter distance?

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