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Q.

Two trains travelling on the same track are approaching each other with an equal speed of 40 m/s. The drivers of the trains begin to decelerate   simultaneously when they are just 2 km apart.   Assuming the deceleration to be uniform and equal , the value of the deceleration to barely avoid collision should be …..in m/s2

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a

0.2

b

0.6

c

0.4

d

0.8

answer is D.

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Detailed Solution

initial relative velocity of first train with respect second train=80 m/sfinal relative velocity of 1 st train w.r.t 2 nd train  =0relative deceleration   = -2arelative distance=2000 mv 2-u 2=2 a s(0) 2 -(80) 2   =2(-2 a)2000 a=0.8 m/ s2
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