A fish and bird are moving as shown in figure. Find the velocity of bird as observed by fish.
8m/s upwards
8m/s downwards
9m/s downwards
9m/s upwards
A
8m/s downwards
B
9m/s upwards
C
8m/s upwards
D
9m/s downwards
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Solution
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Distance between bird and fish as observed by fish
R=x+μy
Differentiating w.r.t. 't'
dRdt=dxdt+μdydt
dRdt→ velocity of bird observed by fish
dxdt→ velocity of fish
dydt→ velocity of bird
Taking downward direction as +ve
dRdt=−24+43×12
=−24+16
=−8 m/s
i.e., 8 m/s upward.
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