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Question

A jet plane flying at a constant velocity v at a height = 8 km is tracked by a radar R located at O directly below the line of flight. If angle θ is decreasing at rate of 0.025 rad/s velocity of plane when θ = 60 is

A

1440 km/h
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B

960 km/h
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C

1920 km/h
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D

480 km/h
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Solution

The correct option is B
960 km/h
tan θ=hxx tan θ=h
cot θ=xh
v=dxdt
v=h×cosec2 θ×d θdt
v=8×43×0.025×60×60 km/h
v=960 km/h

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