A train moving at applies brakes and slows down uniformly to while covering on a…

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

Problem

A train moving at 20 m s−120\,\text{m s}^{-1} applies brakes and slows down uniformly to 8 m s−18\,\text{m s}^{-1} while covering 180 m180\,\text{m} on a straight track. (i) Compute the uniform acceleration (include its sign) during this interval. (ii) Hence find the time taken by the train to reduce its speed from 20 m s−120\,\text{m s}^{-1} to 8 m s−18\,\text{m s}^{-1}.

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