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Mathematics (AS & A Level) · May / June 2025 · Paper 45 · Question 3

9709

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A train travels 4.8 km between two stations, A and B. The train starts from rest at A and accelerates at a constant rate until it reaches a speed of 30 m s–1. It then travels at this constant speed for T seconds, before decelerating at a constant rate, coming to rest at B. The total time for the journey is 180 s. Find the value of T and hence find the distance moved by the train while travelling at the constant speed of 30 m s–1. [5]

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