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Q.

Engine of a train that is moving with uniform acceleration passes a pole with speed ' u ' while the last compartment passes the pole with speed ' v '. The middle point of the train passes the given pole with speed.

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a

v−u2

b

v+u2

c

v2+u22

d

v2−u22

answer is C.

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Detailed Solution

Let length of train = ℓAcceleration −aVelocity of middle point = vmNow v2=u2+2aℓ…(i)&vm2=u2+2aℓ2… (ii) Solving vm2−v2+u22⇒vm=v2+u22
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