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Question

A fish rising vertically up towards the surface of water with speed 3 ms1 observes a bird diving vertically down towards it with speed 9 ms1. The actual velocity of the bird is


A
4.5 ms1
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B
5.4 ms1
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C
3.0 ms1
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D
3.4 ms1
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Solution

The correct option is A 4.5 ms1

Effective height of the bird as seen by the fish,
Y=y+μ y

Differentiating both sides w.r.t t

dYdt=dydt+μ dydt

From question,
dYdt=9 ms1; dydt=3 ms1

9=3+43 dydt

dydt=6×34=4.5 ms1

Hence, option (a) is correct.

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