14. A train is moving along a straight path with uniform
acceleration. Its engine passes across a pole with a
velocity of 60 km/h and the end (guard's van) passes
across same pole with a velocity of 80 km/h. The middle
point of the train will pass across same pole with a
velocity
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Answer: Let s be length of train, t be time taken by full train to cross the pole and a be uniform acceleration of train. from,v2−u2=2as,802−6022a=s or s=6400−36002a=1400a
….(1) The middle part of the train covers half the total distance,s/2=700a From,v2−u2=2as,v2−602=2a×700a=1400 v2=1400+3600=5000−−−−√=70.7km/h.
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