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Q.

A fish rising up vertically toward the surface of water with speed 3 ms-1 observes a bird diving down vertically towards it with speed 9 ms-1. The actual velocity of bird is

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a

4.5 m s-1

b

5.4 m s-1

c

3.0 m s-1

d

3.4 m s-1

answer is A.

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Detailed Solution

Effective height of the bird as seen by the fish, Y = y + μ y'          dYdt=dydt+μdy'dt           9=+3+43dy'dt or       dy'dt=6×34=184=92=4.5 m s-1Therefore, actual velocity of bird = 4.5 m s-1
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