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Q.

An engine of a train, moving with uniform acceleration, passes the signal post with velocity ‘U’ and the last compartment with velocity ‘V’. The velocity with which middle point of the train passes the signal post is 

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a

V−U2

b

V2−U22

c

V+U2

d

V2+U22

answer is D.

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Detailed Solution

V2−U2=2aS

⇒V2−U2∝S 

Let  ‘l’ be the length of the train.  

lI/2=V2−U2V12−U2⇒V1=V2+U22

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