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Rain is falling vertically with a speed of 4 ms-1. Wind starts blowing after sometime with a speed of 3 ms-1 in east to west direction. In which direction should a boy waiting at a bus stop hold his umbrella

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a

37° with the vertical towards west

b

53° with the vertical towards east

c

37° with the vertical towards east

d

53° with the vertical towards west

answer is C.

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Detailed Solution

VRM⇀=-4k⏞-3i⏞ (VRM⇀=VR⇀+VW⇀)taking east alongi⏞ north along j⏞and vertically up along k⏞ tan θ =34=370 with the vertical towards east

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