A car travels along a straight desert highway that runs east–west

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

Problem

A car travels along a straight desert highway that runs east–west. A coordinate system is chosen with the origin at a small roadside café and the positive xx-axis pointing east. At 12:00 p.m. the car passes a road sign located 2.5 km2.5\,\text{km} west of the café. At 12:10 p.m. the car stops for fuel at a station 1.8 km1.8\,\text{km} east of the café. (1) Part 1: (a) Express the car’s initial and final positions in meters, including their algebraic signs. (2) Part 2: (b) Determine the car’s displacement for the interval between 12:00 p.m. and 12:10 p.m. (3) Part 3: (c) State the magnitude of the displacement and specify its direction relative to the café.

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