Runner A passes a bus stop with a constant speed of

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

Problem

Runner A passes a bus stop with a constant speed of 5 m/s5\,\text{m/s}. Exactly 4 s4\,\text{s} later, Runner B starts from the same bus stop from rest and accelerates uniformly at 1.5 m/s21.5\,\text{m/s}^{2}. Will Runner B overtake Runner A within the next 10 s10\,\text{s} (measured from B’s start)? If yes, how far from the bus stop does this occur? (a) Yes, at about 75 m75\,\text{m} (b) Yes, at about 50 m50\,\text{m} (c) Yes, at about 67 m67\,\text{m} (d) No, Runner B does not overtake within 10 s10\,\text{s}

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