. A woman
rides a bicycle with a speed of 
in the
north to south direction. What is the relative velocity of rain with respect to
the woman ? What is the direction in which she should hold her umbrella to
protect herself from the rain?
Answer:
The situation is shown in Fig.
4.104.
Fig. 4.104
Here
velocity
of woman cyclist
due
south
velocity
of rain
vertically
downward
= Opposite velocity of the woman cyclist.
= Velocity of rain relative to woman cyclist
If OD makes angle 
with the
vertical, then
or
.
The woman should hold her umbrella at
18°26' with the vertical in the direction of her motion i.e., towards south.
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