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A train starts from station A with uniform acceleration a1 for some distance and then goes with uniform retardation a2 for some more distance to come to rest at station B. The distance between stations A and B is 4 km and the train takes 1/15 h to complete this journey. If accelerations are in km per sq. minute unit, then 1a1+1a2=x. Find the value of x.

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answer is 2.

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Detailed Solution

t1+t2=4min,v=a1t1=a2t2S=12×4v⇒4=2v⇒v=2t1+t2=v1a1+1a2⇒4=21a1+1a2⇒1a1+1a2=2

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A train starts from station A with uniform acceleration a1 for some distance and then goes with uniform retardation a2 for some more distance to come to rest at station B. The distance between stations A and B is 4 km and the train takes 1/15 h to complete this journey. If accelerations are in km per sq. minute unit, then 1a1+1a2=x. Find the value of x.