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Question

Rain is falling vertically with a speed of 12ms1.A cyclist is moving east to west with a speed of 123ms1.In order to protect himself from rain at what angle he should hold his umbrella w.r.t vertical.


A

60

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B

0

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C

30

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D

45

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Solution

The correct option is A

60


vrain=12^j,vcyclist=123^i

vrc=vrvc

= 12^j(123^i)

= 12^j+123^i=123^i12^j

tanθ=12123=13

θ=30

Since the vrain w.r.t cyclist make an angle of 30 with the x axis, he must hold the umbrella at an angle of 60 to the vertical.


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