1. Rain is falling vertically with the speed of 20m/s, wind starts blowing after some
time with a speed of 20m/s in East to West direction. In which direction should a
boy waiting in a bus stop hold his umbrella? ( give answer with figure )
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Answer:
The direction of the resultant velocity vector with the vertical is given as,
θ=tan
−1
(
v
r
v
w
)
θ=tan
−1
(
20
12
)
=30.96
∘
Thus, the direction of umbrella should be towards east making an angle of 30.96
∘
with the vertical.
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