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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

υ−u2

b

u+υ2

c

υ2−u22

d

υ2+u22

answer is D.

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Detailed Solution

v2-u2=2as⇒v2-u2∝sLet say length of train is ℓ and velocity with which middle point of the train passes the signal post is v1 ⇒ℓℓ/2=v2-u2v12-u2⇒v1=v2+u22

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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: