Two cars start simultaneously from rest at opposite ends of a straight track and move…

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

Problem

Two cars start simultaneously from rest at opposite ends of a 500 m500\,\text{m} straight track and move towards each other. Car P has a uniform acceleration of 2 m s−22\,\text{m}\,\text{s}^{-2} and car Q has a uniform acceleration of 3 m s−23\,\text{m}\,\text{s}^{-2}. After how many seconds from the start will the cars cross each other? (a) 20 s20\,\text{s} (b) 10 s10\,\text{s} (c) 14 s14\,\text{s} (d) 18 s18\,\text{s}

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