A hiker walks from point to point and then to point

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A hiker walks from point P(1 km, −2 km)P(1\,\text{km},\,-2\,\text{km}) to point Q(6 km, 4 km)Q(6\,\text{km},\,4\,\text{km}) and then to point R(−3 km, −1 km)R(-3\,\text{km},\,-1\,\text{km}). Determine the magnitude of the net displacement from PP to RR and the angle it makes with the positive xx-axis. (a) 10.3 km, 209∘10.3\,\text{km},\,209^{\circ} (b) 4.1 km, 14∘4.1\,\text{km},\,14^{\circ} (c) 4.1 km, 166∘4.1\,\text{km},\,166^{\circ} (d) 7.8 km, 50∘7.8\,\text{km},\,50^{\circ}

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