Physics

Physics

Problem

Car A starts from rest at the origin, accelerates uniformly at 1.5 m s−21.5\,\text{m s}^{-2} for the first 8 s8\,\text{s} and then continues at the constant speed it has reached. Car B is 30 m30\,\text{m} ahead of the origin at t=0t=0 and moves with a constant speed of 6 m s−16\,\text{m s}^{-1} in the same direction. Neglecting any turns or stops, at what time after the start will car A overtake car B? a) 10 s10\,\text{s} b) 13 s13\,\text{s} c) 5 s5\,\text{s} d) 11.5 s11.5\,\text{s}

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