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Q.

Two parallel rail tracks run north-south. Train A moves north with a speed of 54 k mh1 and train B moves south with a speed of 90  kmh1. The relative velocity of B w.r.t. A is

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a

30  ms1

b

40  ms1

c

50  ms1

d

20  ms1

answer is A.

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Detailed Solution

Let positive direction of motion be from south to north.
Given, vA=+54  kmh1=15  ms1;

vB=90  kmh1=25  ms1

 The relative velocity of B w.r.t. A

vBA=vBvA=2515=40  ms1

i. e. , the train B appears to A to move with a speed of 40  ms1 from north to south.

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